Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-11T05:48:12.592419Z
Paper Citation Record · LEDGER
Inevitable shock formation for 3-D compressible Euler flows
As of 14 August 2026, this Paper Citation Record lists 40 of 40 outbound references and 0 inbound Pith citation observations for arXiv:2608.09843.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links
A source-named dated measurement, never combined with another source.
Source: cited_works
Reference resolution
40 of 40 outbound references displayed
- verified exact0
- verified fuzzy24
- unresolved16
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation ab261ee5-5fc6-4521-ba88-75446c078ccc · outbound
This paper cites Partial Differential Equations 17 (1992), no.
Inevitable shock formation for 3-D compressible Euler flows Partial Differential Equations 17 (1992), no
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.381405Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 64358db3-1026-44f6-91c2-72848811aba1 · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 2
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:13.363207Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0c6a67d3-603e-44ab-8ece-1069be6c989b · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 3
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:13.343748Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 32defaa1-fce6-40d4-aa8a-4188a4cc011d · outbound
This paper cites II, Acta Math.
Inevitable shock formation for 3-D compressible Euler flows II, Acta Math
Reference 4
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.323721Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4fd5db95-67d8-4a27-a289-7c4c374e3d45 · outbound
This paper cites and Moncrief, V.Elliptic-Hyperbolic Systems and the Einstein Equations.Ann.
Inevitable shock formation for 3-D compressible Euler flows and Moncrief, V.Elliptic-Hyperbolic Systems and the Einstein Equations.Ann
Reference 5
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.304001Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b641921f-a036-4393-9859-32435932711f · outbound
This paper cites and Vicol, V.Formation of shocks for 2D isentropic compressible Euler.
Inevitable shock formation for 3-D compressible Euler flows and Vicol, V.Formation of shocks for 2D isentropic compressible Euler
Reference 6
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.287979Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 23bebdf3-9db2-4e84-ac3e-82e68d8c7571 · outbound
This paper cites and Vicol, V.Formation of point shocks for 3D compressible Euler.Comm.
Inevitable shock formation for 3-D compressible Euler flows and Vicol, V.Formation of point shocks for 3D compressible Euler.Comm
Reference 7
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.267595Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d790cac7-8f7e-4260-9769-a08c8f9cf3c6 · outbound
This paper cites and Vicol, V.Shock formation and vorticity creation for 3d Euler.Comm.
Inevitable shock formation for 3-D compressible Euler flows and Vicol, V.Shock formation and vorticity creation for 3d Euler.Comm
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.247682Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4762830a-d14f-4eb2-b8f0-09823b846034 · outbound
This paper cites and Klainerman, S.,The Global Nonlinear Stability of Minkowski Space.Princeton Mathematical Series 41, 1993, 526 pp.
Inevitable shock formation for 3-D compressible Euler flows and Klainerman, S.,The Global Nonlinear Stability of Minkowski Space.Princeton Mathematical Series 41, 1993, 526 pp
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.229246Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 78294b82-2cb4-42f0-bcc6-9e45034529e5 · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 10
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:13.209455Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation e3f4a766-55ba-429b-9979-c003ab2109cd · outbound
This paper cites and Miao, S.Compressible Flow and Euler’s Equations, (monograph, 602 pp.) Surveys in Modern Mathematics Volume 9, International Press (ISBN 9781571462978), 2014.
Inevitable shock formation for 3-D compressible Euler flows and Miao, S.Compressible Flow and Euler’s Equations, (monograph, 602 pp.) Surveys in Modern Mathematics Volume 9, International Press (ISBN 9781571462978), 2014
Reference 11
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.188783Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3cd79dd8-badd-48dd-8653-d987b79c8da7 · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:13.170641Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 86cb371a-018b-4872-973e-19242ce09e84 · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 13
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:13.149924Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c189eac3-a72c-441f-8891-f48eeab6269d · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:13.130779Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 81b35fb5-08df-4568-8dab-99918f3eed81 · outbound
This paper cites Pure Appl.
Inevitable shock formation for 3-D compressible Euler flows Pure Appl
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.109703Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 609b1a91-16ec-4f73-a347-4bb1f81c73b4 · outbound
This paper cites Blow-up of solutions of nonlinear wave equations in three space dimensions.
Inevitable shock formation for 3-D compressible Euler flows Blow-up of solutions of nonlinear wave equations in three space dimensions
Reference 16
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.085994Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5827a6aa-d6ea-4de8-8bc7-e726fcdac502 · outbound
This paper cites Pure Appl.
Inevitable shock formation for 3-D compressible Euler flows Pure Appl
Reference 17
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.068226Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 34b1ce5a-aba6-4ad8-9b6a-d8270cfa58cf · outbound
This paper cites Apl.Comput.
Inevitable shock formation for 3-D compressible Euler flows Apl.Comput
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.043984Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 09375b16-5236-4b18-9826-59aaad462a26 · outbound
This paper cites Pure Appl.
Inevitable shock formation for 3-D compressible Euler flows Pure Appl
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.027159Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d4109614-eb93-4509-87de-0226dfc673de · outbound
This paper cites The third phase, Nonlinear hyper- bolic problems (Bordeaux, 1988), 1989, pp.
Inevitable shock formation for 3-D compressible Euler flows The third phase, Nonlinear hyper- bolic problems (Bordeaux, 1988), 1989, pp
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:13.009869Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4e9ca1c4-c617-4565-8072-c0e753371cbf · outbound
This paper cites and Klainerman S.Almost global existence to nonlinear wave equations in three space dimensions.
Inevitable shock formation for 3-D compressible Euler flows and Klainerman S.Almost global existence to nonlinear wave equations in three space dimensions
Reference 21
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:12.991733Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation ce52bd14-b907-453a-9649-1e69f5ec2d69 · outbound
This paper cites and Majda A.Formation of singularities for wave equations including the nonlinear vi- brating string,Comm.
Inevitable shock formation for 3-D compressible Euler flows and Majda A.Formation of singularities for wave equations including the nonlinear vi- brating string,Comm
Reference 22
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:12.975215Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation d4928831-de0e-4d12-bbba-8e2e1ebdee4a · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 23
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:12.955657Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 3ab6b49e-969c-4c26-8c79-cd1284e70c88 · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 24
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:12.937807Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 0b9f9e2b-8ee2-4abd-bb2c-0cf079bcdc9d · outbound
This paper cites and Rodnianski, I.,Rough solutions to the Einstein vacuum equations, Ann.
Inevitable shock formation for 3-D compressible Euler flows and Rodnianski, I.,Rough solutions to the Einstein vacuum equations, Ann
Reference 25
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:12.915288Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 4e53e3ec-ef38-4b4b-8098-5744aeae1750 · outbound
This paper cites Mathematical Phys., 5:5 (1964) 611- 614.
Inevitable shock formation for 3-D compressible Euler flows Mathematical Phys., 5:5 (1964) 611- 614
Reference 26
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:12.896953Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 6c3dd2a4-f5d4-4105-8ccb-c7e8433fa1ee · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 27
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:12.880022Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation fde1d737-b9fb-4a96-ab22-9ba2b821d774 · outbound
This paper cites Differential Equations, 33 (1979) 92-111.
Inevitable shock formation for 3-D compressible Euler flows Differential Equations, 33 (1979) 92-111
Reference 28
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:12.863518Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 57a5a0e6-abaa-41a5-b2c9-4538beb80eeb · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 29
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:12.845465Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5ba904ff-7178-4654-b525-77906460af04 · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 30
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:12.826144Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 5421aaec-007d-46a2-aa7c-a21f56b68b62 · outbound
This paper cites and Speck, J.The stability of simple plane-symmetric shock formation for 3D compressible Euler flow with vorticity and entropy.Analysis and PDE Volume 17, No.3, 2024.
Inevitable shock formation for 3-D compressible Euler flows and Speck, J.The stability of simple plane-symmetric shock formation for 3D compressible Euler flow with vorticity and entropy.Analysis and PDE Volume 17, No.3, 2024
Reference 31
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:12.806096Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 1c0d38ee-af30-4a12-b4ec-6c02aa55a0c6 · outbound
This paper cites and Yu, P.On the formation of shocks for quasilinear wave equations.Inventiones mathematicae 207 (2017), no.
Inevitable shock formation for 3-D compressible Euler flows and Yu, P.On the formation of shocks for quasilinear wave equations.Inventiones mathematicae 207 (2017), no
Reference 32
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:12.785310Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b68ef0bc-40bd-42bf-9633-b4b76ace2bbf · outbound
This paper cites Nauk (N.S.) 12 (1957), no.
Inevitable shock formation for 3-D compressible Euler flows Nauk (N.S.) 12 (1957), no
Reference 33
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:12.765854Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation b1cb8a5f-04f9-477b-9390-8293cd925230 · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 34
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:12.745898Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 72ad66b0-bed8-4282-9c7d-082a8d73d1d7 · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 35
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:12.727286Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c0d5a296-cd62-4772-b1f5-d668aecd0859 · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 36
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:12.707015Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 77bf0bd6-8058-48dd-8db2-cc3261ddfe84 · outbound
This paper cites an unresolved cited work.
Inevitable shock formation for 3-D compressible Euler flows Unresolved cited work
Reference 37
- Resolution
- unresolved
- raw_fallback, observed 2026-08-11T05:48:12.685766Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation c02d54ce-4f47-459d-b49e-4c3ff3d73913 · outbound
This paper cites On global dynamics of $3$-D irrotational compressible fluids.
Inevitable shock formation for 3-D compressible Euler flows On global dynamics of $3$-D irrotational compressible fluids
Reference 38
- Resolution
- unresolved
- no resolver link, observed 2026-08-11T05:48:12.581160Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 17687707-68f5-4812-87cb-ba694ec9225b · outbound
This paper cites In preparation, 2026.
Inevitable shock formation for 3-D compressible Euler flows In preparation, 2026
Reference 39
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:12.669310Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Observation 37e3120b-2bee-42b1-bd40-ccfcbd14530b · outbound
This paper cites and Qiu, Q.The lifespan for 3-D spherically symmetric compressible euler equations.Acta Math- ematica Sinica 14, 527–534 (1998).
Inevitable shock formation for 3-D compressible Euler flows and Qiu, Q.The lifespan for 3-D spherically symmetric compressible euler equations.Acta Math- ematica Sinica 14, 527–534 (1998)
Reference 40
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-11T05:48:12.651676Z
Source-reported events for the cited work
No event found in the named queried sources as of 2026-08-14T06:32:32.682623+00:00.
Pith citing papers
No inbound Pith citation observations are available.