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Paper Citation Record · LEDGER

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler

As of 11 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2412.21040.

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

pith.paper-citation-record.v1
2412.21040 v2

Coverage vector

measured 44 of 44 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:10:38.064428Z

measured 44 of 44 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

44 of 44 outbound references displayed

  • verified exact1
  • verified fuzzy35
  • unresolved8
  • parse uncertain0
  • malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3b09c381-2266-4b3c-9c71-2130dc755b97 · outbound

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

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler The emergence of the singular boundary from the crease in $3D$ compressible Euler flow

Reference 1

Resolution
unresolved
no resolver link, observed 2026-08-10T23:10:37.862884Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:10:37.862884Z digest=sha256:cf4435f7147ad481c614fe4598fc496ac1d2ba2c13da4e8bf69904ca1d0040b9

Observation 2a8b39d7-029b-4b99-bfd7-410b455e7ef2 · outbound

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

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Blowup of small data solutions for a class of quasilinear wave equations in two space dimensions

Reference 2

Resolution
unresolved
no resolver link, observed 2026-08-10T23:10:37.868461Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:10:37.868461Z digest=sha256:82410252cd7f54d4340e3592da89125d0fbf9edad3a12c69ce6993b3f3f5e2b0

Observation 2de9c21f-2899-42ba-bfd4-30f0cea31269 · outbound

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

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Blowup of small data solutions for a quasi linear wave equation in two space dimensions

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.741510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.873426Z digest=sha256:d87758613adb5f96b3bf99410d27b8c4a712ce57a44ac115470aef3966a01c70

Observation e366cecd-4b60-4128-98eb-dda2382bc8f6 · outbound

This paper cites Plane algebraic curves.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Plane algebraic curves

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.726500Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.878263Z digest=sha256:a1d13cce2c956375cce21c5b58a98c4a9f5f70bcddfbd14ed82515dfe23c2c40

Observation 05b87e89-5e74-4fff-a1d4-bbcbd1bb35b6 · outbound

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

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Smooth imploding solutions for 3D compressible fluids

Reference 5

Resolution
unresolved
no resolver link, observed 2026-08-10T23:10:37.883736Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:10:37.883736Z digest=sha256:23c1c61e71f8b459f01ed110f4ca02b9cafcb6d897067ba56f951ab5646d8a74

Observation ffbaa80f-3920-4132-9bf3-b7b581948120 · outbound

This paper cites Simultaneous development of shocks and cusp s for 2d euler with azimuthal symmetry from smooth data.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Simultaneous development of shocks and cusp s for 2d euler with azimuthal symmetry from smooth data

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.711540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.888603Z digest=sha256:8c09e37f8ce026af799955fce20628a44893ebaa070ba3440064cf11b7277c24

Observation ec2d2571-720e-4834-85d9-273c4b5a4e3a · outbound

This paper cites Formation and development of singularitiesfor the compressible Euler equations.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Formation and development of singularitiesfor the compressible Euler equations

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.695658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.894334Z digest=sha256:14a4734fb89cda95e41f02351828c17e500e2571230602e730174d2abc829eff

Observation 01b62fd9-50a8-4d84-a0e3-95a8d0d6e0b1 · outbound

This paper cites Formation of unstab le shocks for 2D insentropic compressible Euler.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Formation of unstab le shocks for 2D insentropic compressible Euler

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.679951Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.899027Z digest=sha256:39e681aded06fd04a50075619d4039841b847190f4e5a39c25a0a51a38ae370c

Observation 719f69df-171f-4881-b9cb-9a3403db20e9 · outbound

This paper cites For mation of shocks for 2D isentropic compressible Euler.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler For mation of shocks for 2D isentropic compressible Euler

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.665895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.903682Z digest=sha256:de62de51cfe355175711255b05fa51a10ae56376a3d158c60e967338d2035540

Observation f14e83d1-deaf-499f-a52e-c24f05133c6f · outbound

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

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Fo rmation of point shocks for 3D compressible Euler

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.651936Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.908671Z digest=sha256:b3f898ecd07a37bee0c8787a315a81c1fbec5b477d2c178dfef78b8e42190f0d

Observation dc72a67f-8951-45f6-a519-61d431545cb2 · outbound

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

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Sh ock formation and vorticity creation for 3D Euler

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.638119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.913012Z digest=sha256:3abc2a09dabbb66f510d326e777187ec4d981d7d153d72f0baa7d4adaec0309f

Observation 6c3fdf6a-18c4-4cd8-8a87-8239bda521fc · outbound

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

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Non-radial implosion for compressible Euler and Navier-Stokes in $\mathbb{T}^3$ and $\mathbb{R}^3$

Reference 12

Resolution
unresolved
no resolver link, observed 2026-08-10T23:10:37.917137Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:10:37.917137Z digest=sha256:50bb3fdf14e1a77dffc0b7af264b0a0030f76b2a3bec6001098fac8b6b9f846d

Observation 9181d9c2-af74-4c04-924b-8a808865d52c · outbound

This paper cites Optimal time-dependent lower bound on densi ty for classical solutions of 1-d compressible euler equati ons.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Optimal time-dependent lower bound on densi ty for classical solutions of 1-d compressible euler equati ons

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.623877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.921866Z digest=sha256:6c027a974f3cb3057dfbca58b51a3b58cbd317e619ecb6bf3a92b01fd3ca91ab

Observation c96a345a-de52-4f4c-bb7a-981c8859fc88 · outbound

This paper cites Shock forma tion in the compressible euler equations and related system s.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Shock forma tion in the compressible euler equations and related system s

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.608590Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.926852Z digest=sha256:c5e6dfcd08307ec13accefb2936273a012d53ef8c4b434b7638802068966ba07

Observation e55aace5-9655-4c4d-a2b5-61b681eb1661 · outbound

This paper cites The Cauchy problem for th e Euler equations for compressible fluids.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler The Cauchy problem for th e Euler equations for compressible fluids

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.593556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.931303Z digest=sha256:7eb21869121b92414f8e04b6589bb5c8bb528a83661564ffd30b1a929f2fc306

Observation d48b7602-e5d5-4dac-9548-02fea121b64e · outbound

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

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Vorticity blowup in compressible Euler equations in $\mathbb{R}^d, d \geq 3$

Reference 16

Resolution
unresolved
no resolver link, observed 2026-08-10T23:10:37.935698Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:10:37.935698Z digest=sha256:88f129c682ce72e775ab4587f83aeeb7abcf49915092ef65399c5556dfa86abf

Observation a4b4811f-8a9e-4fea-9d1a-a5cfc1f820af · outbound

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

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Vorticity blowup in 2D compressible Euler equations

Reference 17

Resolution
unresolved
no resolver link, observed 2026-08-10T23:10:37.940278Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T23:10:37.940278Z digest=sha256:a0d8fa9139b192eec7fb4f07fd901c250c2855d5c8fbd9a1e9b439be6208396d

Observation e17b227e-0d0c-4cc3-92df-603754dea60f · outbound

This paper cites Formation and constructi on of shock for p-system.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Formation and constructi on of shock for p-system

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.578731Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.944929Z digest=sha256:d4e3ea1945f21b15d8f4af3c945d607d491618348e2ffcc4dca53fddc8428e1f

Observation 61a39831-a9c8-421c-b6b7-2d83d18d8c40 · outbound

This paper cites The formation of shocks in 3-dimensional fluids , volume 2.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler The formation of shocks in 3-dimensional fluids , volume 2

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.563616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.948948Z digest=sha256:80ebfd0830facf9f6cd4aa95d2fbb6ac17619b5aebb8a8ea882f8b8c695e7f9b

Observation 174ae939-0aaa-4701-8e3b-d63e666e23e7 · outbound

This paper cites The shock development problem.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler The shock development problem

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.548941Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.953382Z digest=sha256:28671077a639a06e82b1e66c1d9ac04efeebfbb8f62ace6fc5bf5fbf9881c5aa

Observation bd432c19-3b4b-48d5-ae34-583f9700232e · outbound

This paper cites Shock dev elopment in spherical symmetry.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Shock dev elopment in spherical symmetry

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.534701Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.957988Z digest=sha256:26218eafb486d216f6b0e1f3e323bd96cc20c182d6c6a24634f130de62534c34

Observation 88fd5850-57c8-4cec-a08f-f71ba37f05c1 · outbound

This paper cites Compressible flow and Euler’s equations , volume 9 of Surveys of Modern Mathematics.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Compressible flow and Euler’s equations , volume 9 of Surveys of Modern Mathematics

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.519835Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.962697Z digest=sha256:7845d48f78158ed3fdf2e8fa7b66c7dd9cab7ef6f79bf45833a3aae3d92086d2

Observation fcad9b68-2e01-4ed9-af3a-ef5433a0045a · outbound

This paper cites Singularity formation for burgers equation with transvers e viscosity.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Singularity formation for burgers equation with transvers e viscosity

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.505492Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.967151Z digest=sha256:098bf7a1282948dd6055950b31c77f93753a1b0c13d95b30e431371af03f76de

Observation d1725ab8-bf10-4ea1-95ae-ed9a0aaca2ae · outbound

This paper cites Supersonic Flow and Shock Waves.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Supersonic Flow and Shock Waves

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.489615Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.971685Z digest=sha256:e440e64c2dd5f8cddf6b7fbd58dd7b11a9c80e158640ce09f286ffd0ecb53942

Observation 74f27427-ceca-403c-a910-f00cd18e5341 · outbound

This paper cites Hyperbolic conservation laws in continuum physics , volume 3.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Hyperbolic conservation laws in continuum physics , volume 3

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.474239Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.975936Z digest=sha256:4d954f9505460157f7a28729ef60f8d3d1ffd032cd6db67fc6b402f7e8c8a76c

Observation 2e32e437-87e8-4365-bfa7-cd6fe5e08f59 · outbound

This paper cites Formation of singularities in one-dimensi onal nonlinear wave propagation.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Formation of singularities in one-dimensi onal nonlinear wave propagation

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.459010Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.980189Z digest=sha256:27ed78e714cb24d16780de030e606dff0971b9fda4671a6b6b40e80cee417f39

Observation 7017ca06-24a2-4d27-9d96-26742f4f85cf · outbound

This paper cites Formation and propagation of singularit ies for 2 × 2 quasilinear hyperbolic systems.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Formation and propagation of singularit ies for 2 × 2 quasilinear hyperbolic systems

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.444436Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.984950Z digest=sha256:5da763d4361b95527f5d0a9a77cbdb773d4354723cd415871184c87fe6e3e097

Observation 5c71e44d-c65c-4aa1-bb98-40ecf2e8900d · outbound

This paper cites Landau and Evgeny M.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Landau and Evgeny M

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.429871Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.989968Z digest=sha256:8fac67c93f21864a887d83499df80b7d6940b21536d1603ed0d98f94f0ed801b

Observation 3f0bd4f6-9f66-494b-a779-db15dec93aab · outbound

This paper cites an unresolved cited work.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Unresolved cited work

Reference 29

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:10:38.415016Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.995007Z digest=sha256:28ecd68e90dc967f528835b983bd5c355b817e524cfce9e1598c0c6fe253449b

Observation 7f64b96a-cd62-47e0-afb0-942efdeb58c4 · outbound

This paper cites Description de la formation d’un choc dans le p-système.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Description de la formation d’un choc dans le p-système

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.400604Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:37.999654Z digest=sha256:acc25fcde4930fac7532691ef23821bdea4252bb0656642a4e826dcad729f8f2

Observation 480985d8-e5c6-4558-be90-943ab4ba25d7 · outbound

This paper cites Development of singularities in the nonl inear waves for quasi-linear hyperbolic partial different ial equations.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Development of singularities in the nonl inear waves for quasi-linear hyperbolic partial different ial equations

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.386575Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.004201Z digest=sha256:8c236c52407ada75cabaf9e87c4506f3abac4f7a2c53fecca4cdace358c09067

Observation d74c6782-90d5-4513-bffa-b10efed99dab · outbound

This paper cites Shock waves, volume 215 of Graduate Studies in Mathematics.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Shock waves, volume 215 of Graduate Studies in Mathematics

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.370884Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.008714Z digest=sha256:8c62aa9b01a0c364c844bafb3d8f885eb381352da27f4d5489a3698d2f47393e

Observation fb7b09a2-bd3e-4180-9317-e0bd5812399d · outbound

This paper cites Shock formation in soluti ons to the 2d compressible euler equations in the presence of non-zero vorticity.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Shock formation in soluti ons to the 2d compressible euler equations in the presence of non-zero vorticity

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.355196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.013112Z digest=sha256:eb6f200e418b0e05d1b52ec15657b8d93d06b218e9ae224ba26534d271e8216f

Observation 33b021d3-e705-4a01-87b4-5dda054773c8 · outbound

This paper cites The stability of simple pl ane-symmetric shock formation for three-dimensional comp ressible Euler flow with vorticity and entropy.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler The stability of simple pl ane-symmetric shock formation for three-dimensional comp ressible Euler flow with vorticity and entropy

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.340376Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.017411Z digest=sha256:0fab0b512c7d5c6402ad0f49ff05d87bc3715e1c6802a09942790be140d14cbe

Observation 45abd67a-bac8-4ccf-8eb1-999c734e58d4 · outbound

This paper cites Compressible fluid flow and systems of conservation laws in se veral space variables, volume 53.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Compressible fluid flow and systems of conservation laws in se veral space variables, volume 53

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.324540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.022250Z digest=sha256:136545b4767ba97ead24b288ec2354236ec1ae4cc1fa3021ddfbf8db7bdeb9cc

Observation 43a69f7f-2bc1-4376-915e-973440043b61 · outbound

This paper cites On the implosion of a compressible fluid I: smoot h self-similar inviscid profile.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler On the implosion of a compressible fluid I: smoot h self-similar inviscid profile

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.309773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.027148Z digest=sha256:c75fd1f8d5e1e9b6fedf413f1c21979fca7f020f4b8eeeb48e6f117e805808b1

Observation 2de56a75-32ec-4ef2-b467-921d8c937538 · outbound

This paper cites On the implosion of a compressible fluid II: sing ularity formation.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler On the implosion of a compressible fluid II: sing ularity formation

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.294889Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.031780Z digest=sha256:02456e5391af1507b823d041f3b7a4e28986fbaf0c57c72d345a50218fcce0df

Observation 7aa0e490-22d4-4ff4-9ae7-4e263211abaa · outbound

This paper cites A new type of stable shock formation in gas dynamics.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler A new type of stable shock formation in gas dynamics

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.280176Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.036181Z digest=sha256:5fc36ac66f8789fe3ed14e7bb2dabc311732026ca6650be109730032f8a85e14

Observation 365eecdc-4acf-4064-8d2d-5b298fd948dd · outbound

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

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler A characteristics approach to shock formation in 2D Euler with azimuthal symmetry and entropy

Reference 39

Resolution
verified exact
local_arxiv, observed 2026-08-10T23:10:38.109742Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.040674Z digest=sha256:30e8bcaa27da20fb38e06b7916125441cf54f16b8549becc29f76353e16fdd3b

Observation 7e3926da-fd9e-407d-942b-fd1dca7b60de · outbound

This paper cites Gradient blow-u p for dispersive and dissipative perturbations of the Burge rs equation.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Gradient blow-u p for dispersive and dissipative perturbations of the Burge rs equation

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.265005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.045512Z digest=sha256:9a05f67526db501c13765392f05b69473a4bafc3439e859a449baf5745bc39d5

Observation b775369d-49cb-4769-b854-faf7a14dd86e · outbound

This paper cites Über die Fortpflanzung ebener Luftwe llen von endlicher Schwingungsweite.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Über die Fortpflanzung ebener Luftwe llen von endlicher Schwingungsweite

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.250183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.049968Z digest=sha256:a15418651c46e42ee2a3632c649b220e843c195a2637f6db1105cc87b509bc3d

Observation cc34ab36-d9a5-4175-bf08-bdb490699f11 · outbound

This paper cites The geometry of maximal d evelopment and shock formation for the Euler equations in mu ltiple space dimen- sions.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler The geometry of maximal d evelopment and shock formation for the Euler equations in mu ltiple space dimen- sions

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.234721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.054613Z digest=sha256:24558998baa351e77411f38191397ddc5e80e58f804c54b923bec79daf12a098

Observation 27c9605e-5c31-4a31-b4a7-f1836a4a8df3 · outbound

This paper cites an unresolved cited work.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Unresolved cited work

Reference 43

Resolution
unresolved
raw_fallback, observed 2026-08-10T23:10:38.216932Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.058926Z digest=sha256:5bc565b63842dbf0133eb67739111768cbf9fbb691f5c7d02925febd6dc3739c

Observation a5de187f-7e52-431f-b83f-18dcaf9151f6 · outbound

This paper cites Formation and construction of a shock wav e for 3-D compressible Euler equations with the spherical in itial data.

Gradient catastrophes and an infinite hierarchy of H\"older cusp-singularities for 1D Euler Formation and construction of a shock wav e for 3-D compressible Euler equations with the spherical in itial data

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T23:10:38.203011Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

source=pdf_text observed=2026-08-10T23:10:38.064428Z digest=sha256:69ca6c1f35d14b71c9b0c860da415d7f76ca954ea5628b3325ad172052d5fd74

Pith citing papers

No inbound Pith citation observations are available.