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Paper Citation Record · LEDGER

Shock formation in 1D conservation laws II: Vanishing viscosity

As of 18 August 2026, this Paper Citation Record lists 78 of 78 outbound references and 2 inbound Pith citation observations for arXiv:2506.17156.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.17156 v1

Coverage vector

measured 78 of 78 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T19:19:26.207811Z

measured 80 of 80 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-30T13:28:42.621267Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-06-30T13:34:40.533028Z

Reference resolution

78 of 78 outbound references displayed

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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 356f2e42-20ed-44da-8abf-b3814517273b · outbound

This paper cites The emergence of the singular boundary from the crease in $3D$ compressible Euler flow.

Shock formation in 1D conservation laws II: Vanishing viscosity The emergence of the singular boundary from the crease in $3D$ compressible Euler flow

Reference 1

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Observation 033210cf-356c-47ef-973c-92069345b923 · outbound

This paper cites Occurrence and non-appearance of shocks in fractal Burgers equations.

Shock formation in 1D conservation laws II: Vanishing viscosity Occurrence and non-appearance of shocks in fractal Burgers equations

Reference 2

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source=pdf_text observed=2026-08-15T19:19:25.845314Z digest=sha256:53c9a46dd1aa27ace337d45e321bb0afd3ebd5677d6d7b68f5eec4ed6ce83de5

Observation 0db48704-966c-4739-af88-36dfa86cc26b · outbound

This paper cites Équations aux Dérivées Partielles.

Shock formation in 1D conservation laws II: Vanishing viscosity Équations aux Dérivées Partielles

Reference 3

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source=pdf_text observed=2026-08-15T19:19:25.850106Z digest=sha256:781ad2997e4187b8ced3f8c8802b25b1c1c063312dee9e40ff7b257c3bafe24e

Observation 660acd1c-1426-4e46-a369-fa6ff81db045 · outbound

This paper cites Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions.

Shock formation in 1D conservation laws II: Vanishing viscosity Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:27.241447Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 4a605812-25d2-4084-a2bf-4cb58c72c5e2 · outbound

This paper cites Blowup of small data solutions for a quasilinear wave equation in two space dimensions.

Shock formation in 1D conservation laws II: Vanishing viscosity Blowup of small data solutions for a quasilinear wave equation in two space dimensions

Reference 5

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Observation 51c456e7-2cb9-41b5-ad42-2e911be0f5ed · outbound

This paper cites Crime pays; homogenized wave equations for long times.

Shock formation in 1D conservation laws II: Vanishing viscosity Crime pays; homogenized wave equations for long times

Reference 6

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raw_fallback, observed 2026-08-15T19:19:27.216595Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 635663d9-4981-4352-9c0d-c9db664fc475 · outbound

This paper cites Shock formation in 1D conservation laws I: Inviscid structure.

Shock formation in 1D conservation laws II: Vanishing viscosity Shock formation in 1D conservation laws I: Inviscid structure

Reference 7

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verified fuzzy
raw_fallback, observed 2026-08-15T19:19:27.201180Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 38785e4f-943d-4ca2-9f6f-735f6c812b51 · outbound

This paper cites On the front-tracking algorithm.

Shock formation in 1D conservation laws II: Vanishing viscosity On the front-tracking algorithm

Reference 8

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Unavailable: canonical work link unavailable.

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Observation 1d2d0959-1e32-4d66-823f-3b1737b90bc4 · outbound

This paper cites Vanishing viscosity solutions of nonlinear hyperbolic systems.

Shock formation in 1D conservation laws II: Vanishing viscosity Vanishing viscosity solutions of nonlinear hyperbolic systems

Reference 9

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verified fuzzy
raw_fallback, observed 2026-08-15T19:19:27.175255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation c395ae7b-4607-40d7-bb54-dd46d92cc7ff · outbound

This paper cites Global solutions of systems of conservation laws by wave-front tracking.

Shock formation in 1D conservation laws II: Vanishing viscosity Global solutions of systems of conservation laws by wave-front tracking

Reference 10

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source=pdf_text observed=2026-08-15T19:19:25.884606Z digest=sha256:3a0ac6c0dfb066c18cb99dc497d618c514b4a31d8e066f0ad9bc105a9f8abd6c

Observation 63650561-5319-4988-90eb-027abbe90c6a · outbound

This paper cites Hyperbolic systems of conservation laws.

Shock formation in 1D conservation laws II: Vanishing viscosity Hyperbolic systems of conservation laws

Reference 11

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source=pdf_text observed=2026-08-15T19:19:25.889656Z digest=sha256:0169221192a338f79883f5c8f20dcee5ace7c160c468b8ad36021c1dfd8c3363

Observation 757fe862-cbf8-4acd-8813-dc9cb80c3d21 · outbound

This paper cites The unique limit of the Glimm scheme.

Shock formation in 1D conservation laws II: Vanishing viscosity The unique limit of the Glimm scheme

Reference 12

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source=pdf_text observed=2026-08-15T19:19:25.894553Z digest=sha256:da2d26e8467d80c7ba18080df94faee816289e06fd8d99c026b9adab1698bd99

Observation b2f8f28d-e3d0-4b41-a76c-7fcb1f99c628 · outbound

This paper cites Unique solutions to hyperbolic conservation laws with a strictly convex entropy.

Shock formation in 1D conservation laws II: Vanishing viscosity Unique solutions to hyperbolic conservation laws with a strictly convex entropy

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:27.129959Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 11ab4fcd-4712-4a35-a12f-8f91513b20ed · outbound

This paper cites Uniqueness of weak solutions to systems of conservation laws.

Shock formation in 1D conservation laws II: Vanishing viscosity Uniqueness of weak solutions to systems of conservation laws

Reference 14

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Observation e72a5583-0230-4eee-88f7-c83038c72c8a · outbound

This paper cites A uniqueness condition for hyperbolic systems of conserva- tion laws.

Shock formation in 1D conservation laws II: Vanishing viscosity A uniqueness condition for hyperbolic systems of conserva- tion laws

Reference 15

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation f8b85948-2607-4fdb-9b6d-1257439ca737 · outbound

This paper cites Smooth imploding solutions for 3D compressible fluids.

Shock formation in 1D conservation laws II: Vanishing viscosity Smooth imploding solutions for 3D compressible fluids

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:27.088753Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation bea73383-532d-4125-a2e0-87e91e349542 · outbound

This paper cites Formation of unstable shocks for 2D isentropic compressible Euler.

Shock formation in 1D conservation laws II: Vanishing viscosity Formation of unstable shocks for 2D isentropic compressible Euler

Reference 17

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no resolver link, observed 2026-08-15T19:19:25.917168Z

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Unavailable: canonical work link unavailable.

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Observation 1667c65c-abad-45ab-8200-85f4ba7a1432 · outbound

This paper cites Formation of point shocks for 3D compressible Euler.

Shock formation in 1D conservation laws II: Vanishing viscosity Formation of point shocks for 3D compressible Euler

Reference 18

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unresolved
no resolver link, observed 2026-08-15T19:19:25.921999Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

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Observation b5a64215-4285-46a1-9e8c-e30ef46ec834 · outbound

This paper cites Formation of shocks for 2D isentropic com- pressible Euler.

Shock formation in 1D conservation laws II: Vanishing viscosity Formation of shocks for 2D isentropic com- pressible Euler

Reference 19

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unresolved
no resolver link, observed 2026-08-15T19:19:25.926377Z

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Observation 1bfef48a-fa93-4ad9-8b7d-135ecfb5f9c9 · outbound

This paper cites Shock formation and vorticity creation for 3D Euler.

Shock formation in 1D conservation laws II: Vanishing viscosity Shock formation and vorticity creation for 3D Euler

Reference 20

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source=pdf_text observed=2026-08-15T19:19:25.930953Z digest=sha256:860b67b6184439d2d7bd47ffee890f2948d1dc0fc992ce3ae269450cbd99b9a8

Observation 96625eed-a416-4361-bea7-3703e8a95f49 · outbound

This paper cites Non-radial implosion for compressible Euler and Navier-Stokes in $\mathbb{T}^3$ and $\mathbb{R}^3$.

Shock formation in 1D conservation laws II: Vanishing viscosity Non-radial implosion for compressible Euler and Navier-Stokes in $\mathbb{T}^3$ and $\mathbb{R}^3$

Reference 21

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no resolver link, observed 2026-08-15T19:19:25.935644Z

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Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:25.935644Z digest=sha256:488f687600c603f2685adc5f5bff6eddb591178ea7054c97ea55e8905a3d1fab

Observation 069a8931-e0af-4da4-b48f-695810d03ed7 · outbound

This paper cites The inviscid limit of viscous Burgers at nondegenerate shock formation.

Shock formation in 1D conservation laws II: Vanishing viscosity The inviscid limit of viscous Burgers at nondegenerate shock formation

Reference 22

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source=pdf_text observed=2026-08-15T19:19:25.940215Z digest=sha256:843dde4dbee75316439974ee23612ef02ce02c84a35e9b00af5002dc1177880e

Observation 9e0a7802-d319-4155-91a6-74c019cb60c0 · outbound

This paper cites From Navier-Stokes to BV solutions of the barotropic Euler equations.

Shock formation in 1D conservation laws II: Vanishing viscosity From Navier-Stokes to BV solutions of the barotropic Euler equations

Reference 23

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source=pdf_text observed=2026-08-15T19:19:25.944923Z digest=sha256:70d2cc9d471d1a50c3e70997b16c09a50fd6ae01ae50ff9b5d9b6245d0404190

Observation b376cb15-bce5-4400-8fce-0b73a3e45ab6 · outbound

This paper cites Krupa, Alexis F.

Shock formation in 1D conservation laws II: Vanishing viscosity Krupa, Alexis F

Reference 24

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verified fuzzy
raw_fallback, observed 2026-08-15T19:19:27.024081Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 3d77a720-832b-4433-9d9e-3a516fe1c676 · outbound

This paper cites Convergence of the viscosity method for isentropic gas dynamics.

Shock formation in 1D conservation laws II: Vanishing viscosity Convergence of the viscosity method for isentropic gas dynamics

Reference 25

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verified fuzzy
raw_fallback, observed 2026-08-15T19:19:27.007591Z

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No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation bf781f39-cc4a-4a50-9718-a1e36ae4518b · outbound

This paper cites Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow.

Shock formation in 1D conservation laws II: Vanishing viscosity Vanishing viscosity limit of the Navier-Stokes equations to the Euler equations for compressible fluid flow

Reference 26

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verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.991481Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 8193ef6f-db1c-42cc-a014-27340fd1c4b8 · outbound

This paper cites Vorticity blowup in compressible Euler equations in $\mathbb{R}^d, d \geq 3$.

Shock formation in 1D conservation laws II: Vanishing viscosity Vorticity blowup in compressible Euler equations in $\mathbb{R}^d, d \geq 3$

Reference 27

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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T19:19:25.964494Z digest=sha256:949207e9cb2c2e53ebd021e1cb1e864c34ef973c4d141c46e2ca5b4875f44cf1

Observation d7dac175-36e0-47da-be8a-d0626d809951 · outbound

This paper cites Vorticity blowup in 2D compressible Euler equations.

Shock formation in 1D conservation laws II: Vanishing viscosity Vorticity blowup in 2D compressible Euler equations

Reference 28

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unresolved
no resolver link, observed 2026-08-15T19:19:25.969429Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:25.969429Z digest=sha256:5b22ebb09aaa57ffb04e44169aac0f2d4f37a75bf78ce55f0fa65ec046f8540d

Observation 0305d768-fd8a-47ba-8bc0-5bb8dfb02224 · outbound

This paper cites Chickering, Ryan C.

Shock formation in 1D conservation laws II: Vanishing viscosity Chickering, Ryan C

Reference 29

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unresolved
no resolver link, observed 2026-08-15T19:19:25.974224Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:25.974224Z digest=sha256:ddc9797a6e8756ed82041fa1979d2110e2626c59e0f64c418ca96ce970646438

Observation 2b59d40b-e4f3-4f5d-b39c-bc884c984240 · outbound

This paper cites The formation of shocks in 3-dimensional fluids.

Shock formation in 1D conservation laws II: Vanishing viscosity The formation of shocks in 3-dimensional fluids

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.966417Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation b21a702c-371b-4e8f-942a-1ef0de54056b · outbound

This paper cites Singularity formation for Burgers’ equa- tion with transverse viscosity.

Shock formation in 1D conservation laws II: Vanishing viscosity Singularity formation for Burgers’ equa- tion with transverse viscosity

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.950655Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 7a9ab049-d9e8-4cca-b250-e113af4dfdcd · outbound

This paper cites Dafermos.

Shock formation in 1D conservation laws II: Vanishing viscosity Dafermos

Reference 32

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unresolved
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Source-reported events for the cited work

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source=pdf_text observed=2026-08-15T19:19:25.988765Z digest=sha256:01f1a6ccbd5adfb8eb0e52cc3e752a8d020ac66f9ff5f22f1611aef64d0bbf30

Observation 3b2bf434-97ad-4dd0-bcb6-4a10bd9b0eb8 · outbound

This paper cites an unresolved cited work.

Shock formation in 1D conservation laws II: Vanishing viscosity Unresolved cited work

Reference 33

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unresolved
raw_fallback, observed 2026-08-15T19:19:26.924609Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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Observation 1de43799-4e7b-4597-8d80-4d706a2a8fa6 · outbound

This paper cites an unresolved cited work.

Shock formation in 1D conservation laws II: Vanishing viscosity Unresolved cited work

Reference 34

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unresolved
no resolver link, observed 2026-08-15T19:19:25.998847Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:25.998847Z digest=sha256:067bb0a5fcbdeee0445c209a44925f42c203a611ef557e217a22f8f4d085e1dd

Observation 29af1af0-8ef6-43fb-a56c-aff005989af4 · outbound

This paper cites Finite time singularities and global well-posedness for fractal Burgers equations.

Shock formation in 1D conservation laws II: Vanishing viscosity Finite time singularities and global well-posedness for fractal Burgers equations

Reference 35

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.003724Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.003724Z digest=sha256:c39aeb9e8ff29732e0172cecb47a7b428063c47f5c3f1d7f5a5db8d352acfdee

Observation 3752e863-abb3-469f-896f-a836787a334e · outbound

This paper cites The existence and limit behavior of the one-dimensional shock layer.

Shock formation in 1D conservation laws II: Vanishing viscosity The existence and limit behavior of the one-dimensional shock layer

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.889216Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.008769Z digest=sha256:cddc3dcf562aae61981148babb9f323438db54cead8ee5454a02e3f1ebbf8931

Observation f5eada93-d81e-4d33-ae5e-2ecd85f298d3 · outbound

This paper cites Solutions in the large for nonlinear hyperbolic systems of equations.

Shock formation in 1D conservation laws II: Vanishing viscosity Solutions in the large for nonlinear hyperbolic systems of equations

Reference 37

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.014427Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.014427Z digest=sha256:aeec3004277af3fbdd21deae0c5bd8b079576528d8b11d7b9075db05ceefafcf

Observation ff8423d6-0024-4dbd-b8a2-6a2458966053 · outbound

This paper cites Viscous limits for piecewise smooth solutions to systems of conservation laws.

Shock formation in 1D conservation laws II: Vanishing viscosity Viscous limits for piecewise smooth solutions to systems of conservation laws

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.861053Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.018909Z digest=sha256:00ad07667d29b9c75caedec1984c33537a493e33b9f98cc7f9b56ed6c9d5911b

Observation 89b0460e-5988-48bf-b111-93601d6c22c4 · outbound

This paper cites an unresolved cited work.

Shock formation in 1D conservation laws II: Vanishing viscosity Unresolved cited work

Reference 39

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:19:26.845626Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.023530Z digest=sha256:5522a74780fc59ef0f244a2efc3aafc00e6b1d4c9974fb402c2ee695dff3436a

Observation 40fb87fb-68d3-407e-a15f-8fe320d82b38 · outbound

This paper cites Existence and stability of multidimensional shock fronts in the vanishing viscosity limit.

Shock formation in 1D conservation laws II: Vanishing viscosity Existence and stability of multidimensional shock fronts in the vanishing viscosity limit

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.829310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.028336Z digest=sha256:0dc4ec94d4953d3862c81fc1c0f8e2c3c8043b9facccf44f8ff71da45d13963d

Observation 8365091a-f8a4-406d-9615-2c7c24d84c3e · outbound

This paper cites The partial differential equation𝑢𝑡+𝑢𝑢𝑥 =𝜇𝑢𝑥𝑥.

Shock formation in 1D conservation laws II: Vanishing viscosity The partial differential equation𝑢𝑡+𝑢𝑢𝑥 =𝜇𝑢𝑥𝑥

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.813686Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.032971Z digest=sha256:8cfc175622d2def121407e62d1a101fb39026fc90ed29843e26c173979f53968

Observation 40b77ee0-5d29-4800-8bf4-d288639ba124 · outbound

This paper cites Blow-up of solutions of nonlinear wave equations in three space dimensions.

Shock formation in 1D conservation laws II: Vanishing viscosity Blow-up of solutions of nonlinear wave equations in three space dimensions

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.798229Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.037716Z digest=sha256:18636dfd79854bfac4f51b85658e13646340b87069086748a432625705e1c1c7

Observation 23ad81d9-20bf-4c69-85a1-3b580ae23526 · outbound

This paper cites Formation of singularities in one-dimensional nonlinear wave propagation.Comm.

Shock formation in 1D conservation laws II: Vanishing viscosity Formation of singularities in one-dimensional nonlinear wave propagation.Comm

Reference 43

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.042308Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.042308Z digest=sha256:7aa2f63cde4e4690039f707a0f1b6fb36dff9d3b6605a227452b6c0d9f24bf87

Observation 1d57cb93-44dc-43ef-ae93-f0b44536753c · outbound

This paper cites an unresolved cited work.

Shock formation in 1D conservation laws II: Vanishing viscosity Unresolved cited work

Reference 44

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:19:26.771378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.047180Z digest=sha256:8b36d86a4899ceeea796231c951dbaa9c47a776e53624e4d0fb640d86f7dfec4

Observation 93da8320-dd1b-48da-b592-fc22de05cfea · outbound

This paper cites Large-time behaviour of solutions to hyperbolic-parabolic systems of conservation laws and applications.

Shock formation in 1D conservation laws II: Vanishing viscosity Large-time behaviour of solutions to hyperbolic-parabolic systems of conservation laws and applications

Reference 45

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.051851Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.051851Z digest=sha256:5346297b7e264e826e44092c6af12c45f25900c76f726bb519531c050fc035eb

Observation 52b7343a-8e87-4f70-adbd-9aed3c42d54c · outbound

This paper cites Systems of a hyperbolic-parabolic composite type, with applications to the equations of magnetohydrodynamics.

Shock formation in 1D conservation laws II: Vanishing viscosity Systems of a hyperbolic-parabolic composite type, with applications to the equations of magnetohydrodynamics

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.744654Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.056428Z digest=sha256:43755582fb800d969c9d2cd43b2413358a20007334a0a6ead1e4e2882b2fac18

Observation 715ababb-7aa0-441e-a295-4fa49acddc5d · outbound

This paper cites On the normal form of the symmetric hyperbolic- parabolic systems associated with the conservation laws.

Shock formation in 1D conservation laws II: Vanishing viscosity On the normal form of the symmetric hyperbolic- parabolic systems associated with the conservation laws

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.728825Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.061019Z digest=sha256:82e49badae37bf199fea5118828c3ac14501301c795a92b9bb5994cdcd5e1fa2

Observation c1448339-bab8-4ce5-ab6a-0ef36c97dcd6 · outbound

This paper cites Blow up and regularity for fractal Burgers equation.

Shock formation in 1D conservation laws II: Vanishing viscosity Blow up and regularity for fractal Burgers equation

Reference 48

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.065441Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.065441Z digest=sha256:bd65ab188ecfdee43daa74816214b541651b949a42a76a77ffc6b37edcb7a5db

Observation 1883fde1-0831-462e-82b9-596a71f217f9 · outbound

This paper cites an unresolved cited work.

Shock formation in 1D conservation laws II: Vanishing viscosity Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:19:26.701938Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.070144Z digest=sha256:06856c7de61f4ebbf5ce0db4383c2b2bf55e385f74a6c21db7617eade8e32496

Observation 059fe1c3-c97e-42e8-9a4f-a95e5d79c7e0 · outbound

This paper cites an unresolved cited work.

Shock formation in 1D conservation laws II: Vanishing viscosity Unresolved cited work

Reference 50

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.074808Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.074808Z digest=sha256:f4cbf57135c7ccc1d6f6fd365175f1c95947e2499e696cea1a442c616f64665e

Observation e8481cdc-689d-4b61-bccb-666cfee53532 · outbound

This paper cites Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non-BV perturbations.

Shock formation in 1D conservation laws II: Vanishing viscosity Relative entropy and the stability of shocks and contact discontinuities for systems of conservation laws with non-BV perturbations

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.676561Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.079217Z digest=sha256:917695204ddbab6a6e857a7dc6faff577534367d3958a92ed3006d285ba1dfb6

Observation 73e8590d-6804-45b8-8d8b-17b0df056998 · outbound

This paper cites Souganidis.

Shock formation in 1D conservation laws II: Vanishing viscosity Souganidis

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.661411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.084258Z digest=sha256:3f7834c36d578a7ebe30d07f7cc8e47e74ecdb727649538525d03e9cc93cb41d

Observation 8f0c553b-73e4-4853-bfb3-10b7baa1f222 · outbound

This paper cites Navier-Stokes equations in gas dynamics: Green’s function, singularity, and well-posedness.

Shock formation in 1D conservation laws II: Vanishing viscosity Navier-Stokes equations in gas dynamics: Green’s function, singularity, and well-posedness

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.645790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.088784Z digest=sha256:1930c097d5e383c98ea49f0b9edf7d37dec1f3f096b2ae9671576789e699f0c3

Observation 568e86cd-553f-4f61-94a1-e034bf2d9ecb · outbound

This paper cites Shock formation in solutions to the 2D compressible Euler equa- tions in the presence of non-zero vorticity.

Shock formation in 1D conservation laws II: Vanishing viscosity Shock formation in solutions to the 2D compressible Euler equa- tions in the presence of non-zero vorticity

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.093373Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.093373Z digest=sha256:335c8a913e4aa9963bf066395ed92902facf3e06e11cc8a0bb51420c327e7df6

Observation c396539e-fa49-42b0-bf4b-6a02852ea4ea · outbound

This paper cites The stability of simple plane-symmetric shock formation for three-dimensional compressible Euler flow with vorticity and entropy.

Shock formation in 1D conservation laws II: Vanishing viscosity The stability of simple plane-symmetric shock formation for three-dimensional compressible Euler flow with vorticity and entropy

Reference 55

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.098764Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.098764Z digest=sha256:5a727e487da49263f9d5b288db4356e6fbd5c804af4fc8db8642967b6187ba8c

Observation e0317cc7-fbf5-443d-97c3-95c2c31c17ce · outbound

This paper cites The stability of multidimensional shock fronts.

Shock formation in 1D conservation laws II: Vanishing viscosity The stability of multidimensional shock fronts

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.608208Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.103449Z digest=sha256:2eb6dbc0281b385e4989061e524ac7903a84dd8a23c008871ecd1a130bcbdb96

Observation 26cb6984-01f1-4757-a0a2-d95dc64699b7 · outbound

This paper cites Mellet, A.

Shock formation in 1D conservation laws II: Vanishing viscosity Mellet, A

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.108054Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.108054Z digest=sha256:6b52a14f5b79aaa5983f6c534122ce40d813f503602a0c71e3161c761f97d398

Observation 5e76b30b-bfa9-4e1b-aa20-af21598a237b · outbound

This paper cites On blow up for the energy super critical defocusing nonlinear Schrödinger equations.

Shock formation in 1D conservation laws II: Vanishing viscosity On blow up for the energy super critical defocusing nonlinear Schrödinger equations

Reference 58

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.112654Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.112654Z digest=sha256:4a7ba5571362da9bc86b248b100de1ec4ffd16e26ce312d414cacebaa75ad7b7

Observation 60212767-f0ef-452d-baff-9bade1100b9d · outbound

This paper cites On the implosion of a com- pressible fluid I: Smooth self-similar inviscid profiles.

Shock formation in 1D conservation laws II: Vanishing viscosity On the implosion of a com- pressible fluid I: Smooth self-similar inviscid profiles

Reference 59

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.117473Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.117473Z digest=sha256:2ad075ec7a2afa43197c8a37708e8871db6489b1420a70378ad1a3bb655be0dd

Observation 28bf3f6d-919d-4923-a936-7f5303f2ee2f · outbound

This paper cites On the implosion of a com- pressible fluid II: Singularity formation.

Shock formation in 1D conservation laws II: Vanishing viscosity On the implosion of a com- pressible fluid II: Singularity formation

Reference 60

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.122469Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.122469Z digest=sha256:75bc8362eacdfa5c09ff02fd1a9537fabca19e84a1ed97a79abdd55c0f68f0a7

Observation 1fd99f3b-f1fa-4424-9ea8-3b2df8a9f271 · outbound

This paper cites A characteristics approach to shock formation in 2D Euler with azimuthal symmetry and entropy.

Shock formation in 1D conservation laws II: Vanishing viscosity A characteristics approach to shock formation in 2D Euler with azimuthal symmetry and entropy

Reference 61

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.127246Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.127246Z digest=sha256:74fb3d54a978bc6db603a7f982eee7fe6317ebfe11cd9ae365e8d4016f998dd7

Observation 1b3d4d9b-2a6b-45de-8c0c-268003c766a6 · outbound

This paper cites Gradient blow-up for dispersive and dissipative perturba- tions of the Burgers equation.

Shock formation in 1D conservation laws II: Vanishing viscosity Gradient blow-up for dispersive and dissipative perturba- tions of the Burgers equation

Reference 62

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.131675Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.131675Z digest=sha256:3106404d87ff8db25b23403e55a35b2273e2cfcdbead457dbb622032e9552b6a

Observation 142879c8-8186-46a2-9ee1-20a0dbf04d86 · outbound

This paper cites an unresolved cited work.

Shock formation in 1D conservation laws II: Vanishing viscosity Unresolved cited work

Reference 63

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:19:26.534381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.136269Z digest=sha256:e13d45a86a9390f8c3e101641ddab8d0e891d0a66a7fe03b00bb4c16226bf36f

Observation 6db523b7-d90d-4d79-bb79-f6806096faca · outbound

This paper cites BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one.

Shock formation in 1D conservation laws II: Vanishing viscosity BV estimates fail for most quasilinear hyperbolic systems in dimensions greater than one

Reference 64

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.141357Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.141357Z digest=sha256:42d36dc69f09d7f47ac58627c3395dba6b2b25a3bc7599219744a37d25a918fc

Observation 90f942c3-27a6-4f3a-98e5-ddc1f69cda55 · outbound

This paper cites Gesammelte mathematische Werke, wissenschaftlicher Nachlass und Nach- träge.

Shock formation in 1D conservation laws II: Vanishing viscosity Gesammelte mathematische Werke, wissenschaftlicher Nachlass und Nach- träge

Reference 65

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.145823Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.145823Z digest=sha256:e5f71bd84b00bd9ae5d4740786ddd47a09ec2bf5780cc083ba6eee1ad398003d

Observation 3440a95b-23cc-4cbb-99f7-6c436c50708f · outbound

This paper cites A front-tracking alternative to the random choice method.

Shock formation in 1D conservation laws II: Vanishing viscosity A front-tracking alternative to the random choice method

Reference 66

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.150518Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.150518Z digest=sha256:1fc6beea958682ccd1f92e5c6a8df5a279a102b71191635fbe0b2663dedb908a

Observation b8f2d22f-dfde-408d-8b08-bc9f4ac570b4 · outbound

This paper cites Viscous approximation of strong shocks of systems of conservation laws.

Shock formation in 1D conservation laws II: Vanishing viscosity Viscous approximation of strong shocks of systems of conservation laws

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.487743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.154868Z digest=sha256:9481e08b24ce80cc11a83d0bc3c3028b8e2e508e525db108f574c438a4de9000

Observation 09affea3-b5da-4cdb-80de-bda6a2c482ce · outbound

This paper cites Local existence for viscous system of conservation laws:𝐻𝑠-data with𝑠 > 1+𝑑/2.

Shock formation in 1D conservation laws II: Vanishing viscosity Local existence for viscous system of conservation laws:𝐻𝑠-data with𝑠 > 1+𝑑/2

Reference 68

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.473072Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.159510Z digest=sha256:1c4768d4c3fb4a22cd217f7c3a348b42830fd353b8c755f74a487d68c7a1698b

Observation 92d84b9e-5c94-4389-a5a0-656497480af6 · outbound

This paper cites The structure of dissipative viscous system of conservation laws.

Shock formation in 1D conservation laws II: Vanishing viscosity The structure of dissipative viscous system of conservation laws

Reference 69

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.457413Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.164096Z digest=sha256:ecea5d1e3ed728e491409e7f077400d49a4a82cd7e9466c6f8a38114125801c8

Observation a590b83e-422d-4ecd-be11-9da126342a8a · outbound

This paper cites Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation.

Shock formation in 1D conservation laws II: Vanishing viscosity Systems of equations of hyperbolic-parabolic type with applications to the discrete Boltzmann equation

Reference 70

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.442049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.168918Z digest=sha256:34fb23aa7c987b7843fdd38eb280065cd2ef649c267c77c345acaa14832437ae

Observation 11fe86cb-818d-4497-b6fb-4f7b98bbad86 · outbound

This paper cites The geometry of maximal development and shock formation for the Euler equations in multiple space dimensions.

Shock formation in 1D conservation laws II: Vanishing viscosity The geometry of maximal development and shock formation for the Euler equations in multiple space dimensions

Reference 71

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.173933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.173933Z digest=sha256:12ea04a74878fdb2f209d2960d6ddfa677d48d6731e93130baac77607bedf146

Observation f52d88f8-e2bf-41f4-874a-f643c4f2bb06 · outbound

This paper cites an unresolved cited work.

Shock formation in 1D conservation laws II: Vanishing viscosity Unresolved cited work

Reference 72

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.178572Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.178572Z digest=sha256:b407bdc4eec24474dd69db49cfa9838a280ce8d560bdbe47a2722cfb4f723579

Observation fb5dd321-e970-4428-a711-a2a759078d79 · outbound

This paper cites Tang, Zhen-huan Teng.

Shock formation in 1D conservation laws II: Vanishing viscosity Tang, Zhen-huan Teng

Reference 73

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.405776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.183092Z digest=sha256:891372270adaf877e04d240ad7ea0cd13f3ec866753caa8ffa04dc1bbe16e0b2

Observation 268a1701-e7f8-40eb-819b-777843718437 · outbound

This paper cites On𝐿1 convergence rate of viscous and numerical approximate solutions of genuinely nonlinear scalar conservation laws.

Shock formation in 1D conservation laws II: Vanishing viscosity On𝐿1 convergence rate of viscous and numerical approximate solutions of genuinely nonlinear scalar conservation laws

Reference 74

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.389401Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.187607Z digest=sha256:1447f97b26ac2751b5dfadcb2e786b69ba431c3d3d08d8fd6f556ebb925fe127

Observation 24205442-25ec-4f01-b0f6-37a5a9554567 · outbound

This paper cites an unresolved cited work.

Shock formation in 1D conservation laws II: Vanishing viscosity Unresolved cited work

Reference 75

Resolution
unresolved
raw_fallback, observed 2026-08-15T19:19:26.372441Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.192809Z digest=sha256:62fbeb47acaa5d743e762d27a8af76c74a21e4bf7552e50392d1876672f5d331

Observation 8bd5ad33-dd18-4650-958a-84188de2e82a · outbound

This paper cites Shock formation of the Burgers-Hilbert equation.

Shock formation in 1D conservation laws II: Vanishing viscosity Shock formation of the Burgers-Hilbert equation

Reference 76

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.198081Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.198081Z digest=sha256:c7eeb9ebd81362a81ad7b033bb8a9d122b69c4aba608a0a85bc81152e62ecfd1

Observation 401ddb6f-8727-43e8-86c7-76a3aa539ec6 · outbound

This paper cites Unstable shock formation of the Burgers-Hilbert equation.

Shock formation in 1D conservation laws II: Vanishing viscosity Unstable shock formation of the Burgers-Hilbert equation

Reference 77

Resolution
unresolved
no resolver link, observed 2026-08-15T19:19:26.202887Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-15T19:19:26.202887Z digest=sha256:c8e2607fcc0353a0236f1f70090418278efd4d024752270d7d8e206ce0bc12f1

Observation 5101a03a-f129-4143-8515-a5993bab4959 · outbound

This paper cites Zero-dissipation limit of solutions with shocks for systems of hyperbolic conservation laws.

Shock formation in 1D conservation laws II: Vanishing viscosity Zero-dissipation limit of solutions with shocks for systems of hyperbolic conservation laws

Reference 78

Resolution
verified fuzzy
raw_fallback, observed 2026-08-15T19:19:26.345877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-08-15T19:19:26.207811Z digest=sha256:e4ae90fc85f31cc997df6009755bbf33aff31000d14778f6f488e8cec2d6cee6

Pith citing papers

Observation 1ee82398-c1a3-4458-ae41-ee1f0727f09c · inbound

Local Asymptotic Patterns for Viscous Approximations of Conservation Laws cites this paper.

Local Asymptotic Patterns for Viscous Approximations of Conservation Laws Shock formation in 1D conservation laws II: Vanishing viscosity

Reference 1

Resolution
verified exact
arxiv_id, observed 2026-05-11T15:26:09.545055Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-05-09T20:00:52.335289Z digest=sha256:937209a383c1988a94f209ac99555469ef3419c07236377b96261507cff7cefd

Observation 9004782b-b60f-4585-a855-0ba3bc541fc5 · inbound

Hydrodynamic Limit of the Boltzmann Equation toward Generic Riemann Solutions with Shocks cites this paper.

Hydrodynamic Limit of the Boltzmann Equation toward Generic Riemann Solutions with Shocks Shock formation in 1D conservation laws II: Vanishing viscosity

Reference 2

Resolution
verified exact
arxiv_id, observed 2026-06-30T13:34:40.534324Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

source=pdf_text observed=2026-06-30T13:28:42.621267Z digest=sha256:74cacbc296eeb2d364e100b498e8a6f641d4e2703efe00f2c29875cfabdc0388