Paper Citation Record · LEDGER

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities

As of 13 August 2026, this Paper Citation Record lists 20 of 20 outbound references and 0 inbound Pith citation observations for arXiv:2507.16436.

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

pith.paper-citation-record.v1
2507.16436 v1

Coverage vector

measured 20 of 20 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-06T15:17:47.313003Z

measured 20 of 20 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-13T06:32:02.005865+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

20 of 20 outbound references displayed

verified exact1
verified fuzzy10
unresolved9
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 84135f69-b9c7-42fb-9ac2-e8b36343532b · outbound

This paper cites Adams, J.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Adams, J

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:51.392497Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation cbfd5d7f-b8de-4ebd-b280-f03bb89efb45 · outbound

This paper cites Bresch, B.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Bresch, B

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:51.132381Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation aff79817-0784-4f49-bda3-d574944dca09 · outbound

This paper cites an unresolved cited work.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Unresolved cited work

Reference 3

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:50.853428Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f841014d-e73c-4747-a489-3621eb9859b4 · outbound

This paper cites an unresolved cited work.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Unresolved cited work

Reference 4

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:50.630236Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation e7b565e7-be2e-48a5-a012-3b275a9a16a7 · outbound

This paper cites Global large strong solutions to the compressible Navier-Stokes equations with density-dependent viscosities, case I: isentropic flows.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Global large strong solutions to the compressible Navier-Stokes equations with density-dependent viscosities, case I: isentropic flows

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-06T15:17:47.566267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation b45faeef-d8e5-402c-8fec-c95300dfc084 · outbound

This paper cites Huang, J.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Huang, J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:50.395360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 75ad17dd-27df-4bf6-a028-f40ded84f69f · outbound

This paper cites an unresolved cited work.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:50.050513Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation c815b98b-5560-4b15-839b-c874ec77f848 · outbound

This paper cites an unresolved cited work.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:49.840652Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d687cc46-5378-424d-b21b-7b0462f5ebce · outbound

This paper cites Li, The Green’s function of the Navier-Stokes equations for gas dynamics in R3, Comm.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Li, The Green’s function of the Navier-Stokes equations for gas dynamics in R3, Comm

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:49.579083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 86b1fdf2-2835-40f2-91bb-5e7eec6f74fb · outbound

This paper cites an unresolved cited work.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:49.311103Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 50077eea-a14d-4b7a-83d0-62835f1b5150 · outbound

This paper cites Global Existence of Weak Solutions to the Barotropic Compressible Navier-Stokes Flows with Degenerate Viscosities.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Global Existence of Weak Solutions to the Barotropic Compressible Navier-Stokes Flows with Degenerate Viscosities

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-06T15:17:46.533125Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 586e3846-a083-4e0c-a358-cb8507838c6c · outbound

This paper cites an unresolved cited work.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:49.093431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 65637918-ceb6-4791-9e17-9f000bfd2395 · outbound

This paper cites Matsumura, T.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Matsumura, T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:48.869301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 9ff79ba6-792b-4be3-98dc-c084135c9e9e · outbound

This paper cites Majda, A.-L.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Majda, A.-L

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-06T15:17:46.785442Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 4e5b9cb2-c7e9-46e2-b18e-a2b8ee73a045 · outbound

This paper cites Mellet, A.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Mellet, A

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:48.645556Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5790a6b3-4aea-4667-ae6c-38b99ae0d34b · outbound

This paper cites an unresolved cited work.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-06T15:17:48.473599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f0d6e7cf-af22-4783-b7f8-7ca7b008e527 · outbound

This paper cites Vasseur, C.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Vasseur, C

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:48.269026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation 5fd6f6dd-ec39-45c6-803e-1325e480c599 · outbound

This paper cites Yu, Global existence of strong solutions to the 3d isentropic compressible Navier–stokes equations with density-dependent viscosities, Math.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Yu, Global existence of strong solutions to the 3d isentropic compressible Navier–stokes equations with density-dependent viscosities, Math

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:48.116085Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation d3afc394-6b22-4c9f-9435-0a69ed70869b · outbound

This paper cites Zeng, Asymptotic behavior of compressible isentropic viscous 1-D flow, Comm.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Zeng, Asymptotic behavior of compressible isentropic viscous 1-D flow, Comm

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:47.909142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Observation f33f7ae1-a7ec-4dde-be72-4c59e722af9d · outbound

This paper cites Zhang, J.

Global existence and optimal time-decay rates of the compressible Navier-Stokes equations with density-dependent viscosities Zhang, J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-06T15:17:47.710501Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-13T06:32:02.005865+00:00.

Pith citing papers

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