Paper Citation Record · LEDGER

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations

As of 11 August 2026, this Paper Citation Record lists 35 of 35 outbound references and 0 inbound Pith citation observations for arXiv:2608.06173.

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

pith.paper-citation-record.v1
2608.06173 v1

Coverage vector

measured 35 of 35 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T13:30:24.118141Z

measured 35 of 35 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

35 of 35 outbound references displayed

verified exact2
verified fuzzy22
unresolved11
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 3776b6d8-9ca4-4959-b7a3-4a0d781baac6 · outbound

This paper cites of Math.161 (2), 223-342 (2005).

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations of Math.161 (2), 223-342 (2005)

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:32.544428Z

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.

Observation cd195eae-eefe-4738-a4d0-a59ecf0e9fa2 · outbound

This paper cites The one-dimensional Cauchy problem.Oxford Univer- sity Press, Oxford, 2000.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations The one-dimensional Cauchy problem.Oxford Univer- sity Press, Oxford, 2000

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:32.299118Z

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.

Observation 2fa1cf68-1bf4-48f3-b716-87459a8f3d1d · outbound

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

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Local Asymptotic Patterns for Viscous Approximations of Conservation Laws

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:30:24.534832Z

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.

Observation 8dff0d82-6b22-4a2c-aff5-a56d6fe9f8c2 · outbound

This paper cites and Jenssen, H.:Pairwise wave interactions in ideal polytropic gases.Arch.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Jenssen, H.:Pairwise wave interactions in ideal polytropic gases.Arch

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:32.115826Z

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.

Observation 720cca89-4bb1-48cb-871d-12080e7d914d · outbound

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

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations From Navier-Stokes to BV solutions of the barotropic Euler equations

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-07T13:30:24.271945Z

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.

Observation 901679fa-2c27-400f-86cc-00f2d6ea2dc2 · outbound

This paper cites Pure Appl.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Pure Appl

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:31.905685Z

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.

Observation ac39ec81-8438-42ae-8e19-0d8c8b52dd1d · outbound

This paper cites Rational Mech.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Rational Mech

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:31.645031Z

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.

Observation 5555b4ec-06ff-42f8-a033-2787411121c5 · outbound

This paper cites an unresolved cited work.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:31.381783Z

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.

Observation 29ad1114-077b-4bfc-93c9-a8edd68d1758 · outbound

This paper cites Pure Appl.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Pure Appl

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:31.223504Z

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.

Observation 47a021aa-3ef8-4a45-abf2-4072cc242776 · outbound

This paper cites and Wang, Y.:Zero dissipation limit of full compressible Navier-Stokes equations with a Riemann initial data.Commun.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Wang, Y.:Zero dissipation limit of full compressible Navier-Stokes equations with a Riemann initial data.Commun

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:31.005119Z

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.

Observation bb87ed39-ebf2-4f70-9f72-e7f5e6e2ad3d · outbound

This paper cites and Wang, Y.:Zero dissipation limit to rarefaction wave with vacuum for one-dimensional compressible Navier-Stokes equations.SIAM J.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Wang, Y.:Zero dissipation limit to rarefaction wave with vacuum for one-dimensional compressible Navier-Stokes equations.SIAM J

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:30.808919Z

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.

Observation 83c6aacb-b9d3-4862-b53f-f190abec40c6 · outbound

This paper cites and Wang, Y.:Uniqueness of composite wave of shock and rarefaction in the inviscid limit of Navier-Stokes equations.SIAM J.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Wang, Y.:Uniqueness of composite wave of shock and rarefaction in the inviscid limit of Navier-Stokes equations.SIAM J

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:30.657176Z

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.

Observation 4cf3b7ff-0b82-4142-95e0-d486ee1c48de · outbound

This paper cites and Yang, T.:The limit of the Boltzmann equation to the Euler equations for Riemann problems.SIAM J.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Yang, T.:The limit of the Boltzmann equation to the Euler equations for Riemann problems.SIAM J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:30.476938Z

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.

Observation 79b26ebf-3b58-42ee-b5fe-477e49592e58 · outbound

This paper cites and Yang, T.:Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks.Sci.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Yang, T.:Vanishing viscosity of isentropic Navier-Stokes equations for interacting shocks.Sci

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:30.172780Z

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.

Observation 50438b84-ae78-4067-a709-15ee18b7bfea · outbound

This paper cites and Yang, T.:Fluid dynamic limit to the Riemann solutions of Euler equations: I.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Yang, T.:Fluid dynamic limit to the Riemann solutions of Euler equations: I

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:29.944743Z

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.

Observation dac4ffe8-9732-4647-bbc1-815d1c09fe5b · outbound

This paper cites and Yang, T.:Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem.Arch.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Yang, T.:Vanishing viscosity limit of the compressible Navier-Stokes equations for solutions to a Riemann problem.Arch

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:29.782515Z

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.

Observation 6b172dae-3f5b-4c07-9625-ec6e7dedd6e4 · outbound

This paper cites and Sun, W.:Vanishing viscosity limit to rarefaction waves for the Navier-Stokes equations of one-dimensional compressible heat-conducting fluids.SIAM J.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Sun, W.:Vanishing viscosity limit to rarefaction waves for the Navier-Stokes equations of one-dimensional compressible heat-conducting fluids.SIAM J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:29.630519Z

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

Observation 726e6e14-1c5f-4621-8625-be79b1f4662b · outbound

This paper cites Math.224, 55-146 (2021).

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Math.224, 55-146 (2021)

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:29.448038Z

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.

Observation 1a2048f8-ed44-4cdd-8487-26c3d1787e17 · outbound

This paper cites an unresolved cited work.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:29.275006Z

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.

Observation 0ef0c061-7973-4114-824a-90b2d16ce90c · outbound

This paper cites an unresolved cited work.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:29.073619Z

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.

Observation 94e53192-69ae-4f62-a572-8f9d3c2e33fa · outbound

This paper cites and Wang, Y.:Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations.Adv.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Wang, Y.:Time-asymptotic stability of composite waves of viscous shock and rarefaction for barotropic Navier-Stokes equations.Adv

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:28.914758Z

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.

Observation 2f7e4837-cbc5-4f5f-a2b7-6118f66efe3d · outbound

This paper cites an unresolved cited work.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:28.804881Z

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.

Observation 829753fb-5849-463f-b3f2-1099297f87d1 · outbound

This paper cites and Wang, Y.:The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients.Anal.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Wang, Y.:The limit to rarefaction wave with vacuum for 1D compressible fluids with temperature-dependent transport coefficients.Anal

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:28.684781Z

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.

Observation d8fbbdf9-96f4-496b-af82-6148a0aa426d · outbound

This paper cites an unresolved cited work.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:28.543909Z

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.

Observation 670b7f98-abc5-49e0-abd0-67ffb0cb71a4 · outbound

This paper cites an unresolved cited work.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:28.134744Z

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.

Observation e7d27cba-45bd-4f6e-8383-a58d56478225 · outbound

This paper cites and Zhang, Y.:Vanishing viscosity for non-isentropic gas dynamics with interacting shocks.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Zhang, Y.:Vanishing viscosity for non-isentropic gas dynamics with interacting shocks

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:27.854838Z

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.

Observation 50deced4-c932-4a86-95e9-34abe5f480ef · outbound

This paper cites an unresolved cited work.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:27.625791Z

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.

Observation 21c86efe-c90d-46a9-b5de-da660acd3509 · outbound

This paper cites an unresolved cited work.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:27.405833Z

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.

Observation d623741d-a5fb-43f9-b88f-fe20889efe56 · outbound

This paper cites an unresolved cited work.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:26.964888Z

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.

Observation b037c7e7-68f5-4bc3-866e-1ed836668bae · outbound

This paper cites an unresolved cited work.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:26.475007Z

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.

Observation c79e0900-0894-4f19-b7a3-02238d2f72f7 · outbound

This paper cites Pure Appl.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Pure Appl

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:26.186537Z

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.

Observation b6bc4b7c-9d00-46e8-be94-11d67fda39f3 · outbound

This paper cites an unresolved cited work.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-07T13:30:25.874783Z

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.

Observation cba95286-a5ed-4587-9936-003f73d21c1d · outbound

This paper cites Rational Mech.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations Rational Mech

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:25.474843Z

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.

Observation 34ed9fa3-7352-4aa2-8010-30a6c6c3d882 · outbound

This paper cites and Tan, Z.:Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations.Sci.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Tan, Z.:Zero dissipation limit to a Riemann solution consisting of two shock waves for the 1D compressible isentropic Navier-Stokes equations.Sci

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:25.023594Z

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.

Observation 281b6b76-5fca-4295-8eec-f1e68ab2ef05 · outbound

This paper cites and Tan, Z.:Zero dissipation limit with two interacting shocks of the 1D non-isentropic Navier-Stokes equations.Indiana Univ.

Vanishing viscosity limit to two interacting shocks from the same family for the compressible Navier-Stokes equations and Tan, Z.:Zero dissipation limit with two interacting shocks of the 1D non-isentropic Navier-Stokes equations.Indiana Univ

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T13:30:24.771037Z

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.

Pith citing papers

No inbound Pith citation observations are available.