Paper Citation Record · LEDGER

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data

As of 17 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 0 inbound Pith citation observations for arXiv:2608.00465.

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

pith.paper-citation-record.v1
2608.00465 v2

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:09:22.277718Z

measured 39 of 39 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-16T06:30:59.297886+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

39 of 39 outbound references displayed

verified exact0
verified fuzzy22
unresolved17
parse uncertain0
malformed identifier0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 7b7fced3-24f6-424d-9cae-280606703e3b · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:26.924745Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fb849c43-7c32-4827-8489-12be343dd68e · outbound

This paper cites Bahouri, J.-Y.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Bahouri, J.-Y

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:26.914248Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 416e82f4-013f-4510-9fa5-07b4e03bfb90 · outbound

This paper cites Bedrossian, V.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Bedrossian, V

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:26.903985Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 67477c5b-db4d-48c5-800d-68c809c9fb76 · outbound

This paper cites Brandolese, Characterization of solutions to dissipative systems with sharp algebraic decay,SIAM J.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Brandolese, Characterization of solutions to dissipative systems with sharp algebraic decay,SIAM J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:26.894397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 664a9c1a-fa1f-4d86-866b-a06ffcf969b1 · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:26.885102Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1d229bb6-ea56-4ada-8fad-b0e260f6f670 · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:26.875969Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation fe166ace-740d-4f63-a02f-19cc7e126152 · outbound

This paper cites Danchin, J.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Danchin, J

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:26.866427Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b0130dae-f949-4c76-9238-7fd9657d326b · outbound

This paper cites Deckelnick, Decay estimates for the compressible Navier–Stokes equations in unbounded domains, Math.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Deckelnick, Decay estimates for the compressible Navier–Stokes equations in unbounded domains, Math

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:26.856642Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation edbef6cd-a12f-4da8-90a8-1d21d4b53e36 · outbound

This paper cites Deguchi, On the stability of stationary compressible Navier–Stokes flows in 3D,Math.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Deguchi, On the stability of stationary compressible Navier–Stokes flows in 3D,Math

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:26.846167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 40f15107-591f-402b-91e8-86f6a8e5a4b1 · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:26.835546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b421062f-86b8-46c9-a677-1d95567626fc · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:26.825852Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2ae2dba3-87e1-46b0-87d1-68466d458ce3 · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:26.785883Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 785c9de0-417e-4eea-a617-b0f5ad17f74e · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:26.640325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation cd610d1d-7608-4e48-9bc7-5f75b2d9a478 · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:26.509393Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation a5bdb119-42c4-43ba-89df-9daf49ec9860 · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:26.333878Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6a80c36d-0264-4d98-8b38-1f0a3eec38ff · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:26.104028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 916ce923-d13a-4294-80ff-2a92c630c339 · outbound

This paper cites Huang, J.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Huang, J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:25.893394Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 6a9282a8-9d38-43aa-acbd-5e4e2d834a37 · outbound

This paper cites Iwabuchi, D.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Iwabuchi, D

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:25.637399Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 399ee803-f2c9-4dd0-a049-dc2479feabc9 · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:25.382118Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 87da9b82-e63e-4e07-ad56-57f7b849dc23 · outbound

This paper cites Kawashima, A.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Kawashima, A

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:25.181333Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 8b2518f5-0085-48d4-a9b6-2d1e7c25d9f0 · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:24.897568Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation be878be9-77f1-4aaf-9b29-e904b5118cbe · outbound

This paper cites Liu, W.-K.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Liu, W.-K

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:24.686574Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation c0190c3e-5a0a-481d-8961-2d7f097b594b · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:24.605064Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 2f41e098-5e05-4e66-b8f2-20b9befcb4a9 · outbound

This paper cites Matsumura, T.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Matsumura, T

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:24.480056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f5e09ce3-6aa6-4af7-8b77-29d6559b3ff3 · outbound

This paper cites Matsumura, T.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Matsumura, T

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:24.323684Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 17207b73-5cf9-401b-9941-495a55ddd68b · outbound

This paper cites Matsumura, T.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Matsumura, T

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:24.193261Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 1f3ea256-ac64-4c67-8b84-3cb73a31d16b · outbound

This paper cites Matsumura, M.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Matsumura, M

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:24.104682Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation de1159d3-8ec5-43e4-be7f-bc00b3da6d12 · outbound

This paper cites Okita, On the convergence rates for the compressible Navier–Stokes equations with potential force, Kyushu J.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Okita, On the convergence rates for the compressible Navier–Stokes equations with potential force, Kyushu J

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:23.975735Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0dfbece7-5ec7-4d47-9ffe-e61dc3ccee2f · outbound

This paper cites Oliver, E.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Oliver, E

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:23.868602Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation b27b4143-d605-4355-a712-cb444dd116e0 · outbound

This paper cites Ponce, Global existence of small solutions to a class of nonlinear evolution equations,Nonlinear Anal.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Ponce, Global existence of small solutions to a class of nonlinear evolution equations,Nonlinear Anal

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:23.761255Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation deaa6d78-393a-4248-bbef-5edfc58207b4 · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:23.610136Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 375434db-2e03-4b5c-9b13-19d29d2b1535 · outbound

This paper cites Shizuta, S.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Shizuta, S

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:23.486049Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation f634c051-f4dd-47f2-990c-7cd01f184672 · outbound

This paper cites Shibata, K.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Shibata, K

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:23.324259Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 4ff616c2-4a62-4dbe-9eb6-a37ee868bf39 · outbound

This paper cites Shibata, K.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Shibata, K

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:23.194944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3915243c-c250-440a-b2be-10444233357b · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:23.060430Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 0384a2a3-9a30-42b4-bed5-998aa7a3bbc6 · outbound

This paper cites Wang, Optimal convergence rates for the strong solutions to the compressible Navier–Stokes equations with potential force,Nonlinear Anal.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Wang, Optimal convergence rates for the strong solutions to the compressible Navier–Stokes equations with potential force,Nonlinear Anal

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:22.924418Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 79e00456-115d-43da-be00-7682d84ace03 · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:22.769790Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 3bb69371-d521-497d-a14a-e6169d90f2cc · outbound

This paper cites Xu, A low-frequency assumption for optimal time-decay estimates to the compressible Navier–Stokes equations,Comm.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Xu, A low-frequency assumption for optimal time-decay estimates to the compressible Navier–Stokes equations,Comm

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:09:22.607634Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Observation 371085ab-8109-4206-803a-b70476a01083 · outbound

This paper cites an unresolved cited work.

Compressible Navier--Stokes equations with a potential force: global well-posedness and optimal time-decay rates for arbitrarily large $L^2$ initial data Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:09:22.451750Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-16T06:30:59.297886+00:00.

Pith citing papers

No inbound Pith citation observations are available.