Paper Citation Record · LEDGER

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations

As of 18 August 2026, this Paper Citation Record lists 29 of 29 outbound references and 0 inbound Pith citation observations for arXiv:2608.06040.

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

pith.paper-citation-record.v1
2608.06040 v1

Coverage vector

measured 29 of 29 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T01:08:40.790094Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-18T06:34:40.430872+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

29 of 29 outbound references displayed

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verified fuzzy19
unresolved10
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 22bc266b-ef31-4fb7-971d-811f21210a24 · outbound

This paper cites Br \'e zis and T.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Br \'e zis and T

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:48.938939Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation f8cd689d-f355-458c-bb4a-1c502397f892 · outbound

This paper cites an unresolved cited work.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:08:48.694844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a20a309e-4d07-48b5-82ee-7a87885897fb · outbound

This paper cites Bedrossian and V.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Bedrossian and V

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:48.477718Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 1617979e-97b4-4ea1-94a7-ee03f767b6a7 · outbound

This paper cites Bang and Z.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Bang and Z

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:48.207545Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation ef181f24-d96a-4eb4-a767-a6d7799d6089 · outbound

This paper cites Chae, Liouville -type theorems for the forced Euler equations and the Navier--Stokes equations , Communications in Mathematical Physics 326 (2014), no.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Chae, Liouville -type theorems for the forced Euler equations and the Navier--Stokes equations , Communications in Mathematical Physics 326 (2014), no

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:47.903578Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a54934ee-ae0a-4539-a8fd-b16481807b6a · outbound

This paper cites an unresolved cited work.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:08:47.635711Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation aef52696-22fc-490c-9bb1-1a12baa34758 · outbound

This paper cites 108655, 5 pp.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations 108655, 5 pp

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:47.368089Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 84132a7a-63ae-46cb-970d-8a269fec48d7 · outbound

This paper cites Differential Equations 445 (2025), Paper No.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Differential Equations 445 (2025), Paper No

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:47.081087Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 5641d726-da48-49b9-92e2-0e64f7a7de1f · outbound

This paper cites 3, 53, Paper No.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations 3, 53, Paper No

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:46.727699Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 8d508b33-4852-4b48-8e8c-524a735d891f · outbound

This paper cites an unresolved cited work.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:08:46.355196Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 194a49bc-1427-429a-ba98-7c787ead0bf4 · outbound

This paper cites Carrillo, X.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Carrillo, X

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:46.057802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 16e7a5ab-55d1-4c4a-ba1b-c2d8d2585537 · outbound

This paper cites Chae and S.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Chae and S

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:45.751421Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 08279de9-044e-4496-a9b3-c93b76bcd9f7 · outbound

This paper cites Chae and J.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Chae and J

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:45.416326Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 53457d2f-1d4d-45c2-b576-2fd8318344e0 · outbound

This paper cites an unresolved cited work.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:08:45.136987Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation eadf101b-1e8d-44ba-bf8a-e8d96e75ac9f · outbound

This paper cites an unresolved cited work.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:08:44.842005Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 81cf9f8d-9fee-42c0-99a5-a354835c3f50 · outbound

This paper cites an unresolved cited work.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:08:44.522122Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation a13d11f3-8b8f-4858-b4df-f1e1ff800e97 · outbound

This paper cites an unresolved cited work.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:08:44.253713Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 51302bae-ccb0-4d94-89c5-2c23936089d2 · outbound

This paper cites an unresolved cited work.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:08:43.856509Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d538a27b-ef24-4b63-96c5-f60219ec36eb · outbound

This paper cites Kozono, Y.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Kozono, Y

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:43.632052Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 56f66eb1-b889-49ba-b064-092626607beb · outbound

This paper cites an unresolved cited work.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:08:43.270439Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 6b2f8ee5-0457-472a-bb7e-d3bcfb657d6f · outbound

This paper cites Seregin, Liouville type theorem for stationary Navier--Stokes equations , Nonlinearity 29 (2016), no.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Seregin, Liouville type theorem for stationary Navier--Stokes equations , Nonlinearity 29 (2016), no

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:42.946148Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 71d6b654-c334-4a6c-8cc8-b7dcbdec236e · outbound

This paper cites Seregin, Remarks on Liouville type theorems for steady-state Navier--Stokes equations , Algebra i Analiz 30 (2018), no.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Seregin, Remarks on Liouville type theorems for steady-state Navier--Stokes equations , Algebra i Analiz 30 (2018), no

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:42.632112Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 4d94abe7-2671-4420-b53c-e05de84d85ea · outbound

This paper cites an unresolved cited work.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-07T01:08:42.375788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation 296bb318-ad1d-4767-ae66-6e82a239b932 · outbound

This paper cites Seregin and W.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Seregin and W

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:42.113411Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cee70ccb-c613-49e7-b379-699a8189abaa · outbound

This paper cites Tsai, Liouville type theorems for stationary Navier--Stokes equations , Partial Differential Equations and Applications 2 (2021), no.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Tsai, Liouville type theorems for stationary Navier--Stokes equations , Partial Differential Equations and Applications 2 (2021), no

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:41.898345Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation cee264a8-adc4-46cb-aaf7-8724fb8bdc48 · outbound

This paper cites Wang, Remarks on Liouville type theorems for the 3D steady axially symmetric Navier--Stokes equations , Journal of Differential Equations 266 (2019), no.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Wang, Remarks on Liouville type theorems for the 3D steady axially symmetric Navier--Stokes equations , Journal of Differential Equations 266 (2019), no

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:41.654007Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation d613dd5d-9c9d-4ce9-bc58-1a22993555c0 · outbound

This paper cites Weng, Decay properties of smooth axially symmetric D -solutions to the steady Navier--Stokes equations , Journal of Mathematical Fluid Mechanics 20 (2018), no.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Weng, Decay properties of smooth axially symmetric D -solutions to the steady Navier--Stokes equations , Journal of Mathematical Fluid Mechanics 20 (2018), no

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:41.491956Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation e813c182-81ce-4ff6-ac96-b444529b276d · outbound

This paper cites Zhao, A Liouville type theorem for axially symmetric D -solutions to steady Navier--Stokes equations , Nonlinear Analysis 187 (2019), 247--258.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Zhao, A Liouville type theorem for axially symmetric D -solutions to steady Navier--Stokes equations , Nonlinear Analysis 187 (2019), 247--258

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:41.216043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

Observation b93732e5-a6f6-4ca0-9121-c0d5be7fad2b · outbound

This paper cites Zhang and Q.

New decay estimates and Liouville type theorems for the 3D axisymmetric stationary Navier-Stokes equations Zhang and Q

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T01:08:40.980200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-18T06:34:40.430872+00:00.

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