Paper Citation Record · LEDGER

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces

As of 13 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2411.13980.

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

pith.paper-citation-record.v1
2411.13980 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T15:54:24.723108Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+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

37 of 37 outbound references displayed

verified exact0
verified fuzzy7
unresolved30
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 402673f4-75e4-4915-979d-05bde510915f · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:25.095431Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2ffa7cf1-9b58-4595-bdd9-d0ca694bb89b · outbound

This paper cites Bahouri, J.-Y.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Bahouri, J.-Y

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:54:25.086448Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation b27bb1e4-9caa-4311-8bae-32f5b12dfc10 · outbound

This paper cites Berestycki and T.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Berestycki and T

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:54:25.076608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 114aafaf-c508-46b5-bc87-c80fa67e7e4f · outbound

This paper cites Brezis and P.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Brezis and P

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:54:25.067822Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 5c53616b-17a9-47ad-bc28-1eb441d195ee · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:25.058127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e88cb79a-f0b7-455b-a455-5bf66ed9b630 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:25.048662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 24fdf1a7-1528-4835-a2e8-b478c900d0e9 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:25.039065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 993bbf04-2bca-4966-8a63-c59160fe7156 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:25.028559Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c576ae3e-02b9-4541-b583-be8a2a934285 · outbound

This paper cites Constantin.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Constantin

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:54:25.018880Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 7740d88f-13ff-450c-a378-e985a48a1230 · outbound

This paper cites Constantin.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Constantin

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:54:25.009183Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e45188f5-fe14-428f-a206-2bda1659fb3c · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.998378Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation f9fa8b89-388b-45a8-927a-b5a7f499a02d · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.988761Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 45690c8f-0381-4482-912b-d7939ff2965d · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.978224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation dedb76ff-f0b0-4068-bf02-53c897cd3ec9 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.968080Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 55911fd1-7a0a-4eb8-80b7-cda880e47258 · outbound

This paper cites Foia s , C.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Foia s , C

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:54:24.958775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 435f348e-8137-4535-ae68-d38ac095611b · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-12T15:54:24.652269Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a2e67129-3557-43fa-95d7-85e3a6a1e4fe · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.942292Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 1e025d03-3dc1-4524-af47-029d1e69349e · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 18

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.932647Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0fa1f059-24d4-4087-aa63-aa769187e9f6 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.922012Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation d185bb06-8464-4cf8-bd5a-6cc43e7e98db · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.912708Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a776c602-5a74-4654-843f-6115df800b67 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-12T15:54:24.668930Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation ce5cc775-4e44-4274-943d-1386ee9e9e35 · outbound

This paper cites Lemari\'e-Rieusset.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Lemari\'e-Rieusset

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-12T15:54:24.671951Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation d412d786-6e43-48f0-b5d8-56350fe08ecb · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.891665Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 2751f8fc-5f91-433a-9995-e8c428b3003d · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.881788Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 0e2d9c0e-028c-47be-ad12-16fb7c406902 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.872663Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 864b5f8b-eca6-4559-a118-2131834c7fcc · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.863051Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e2dc401c-478b-47e0-b3df-094d2ec3f7e1 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.853955Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a2343ae0-7717-4bfa-aa8b-82dcd6a56b9d · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.844907Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 4b5a856e-48cc-40da-9249-dc2bb288fa0c · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.835301Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 36715a7c-8b77-4af3-be4f-f77298489c76 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.824773Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e7eb837e-db36-4e18-b3f3-fd6dae3cfc31 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.814797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation ffc25254-e02c-4560-bb26-5025050b3c28 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.805137Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation a03ff3f9-a39b-4607-b41a-73af1f0583a5 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.794478Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation e573b9b2-22f0-4ace-91da-651ca0c91ac3 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.784232Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 237dbde9-8201-4914-8866-02e9f57fbaeb · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.773135Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation c0481653-442e-402a-a456-44a6408ee213 · outbound

This paper cites an unresolved cited work.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Unresolved cited work

Reference 36

Resolution: unresolved; raw_fallback, observed 2026-08-12T15:54:24.762485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Observation 6deefb7b-5874-4fae-948c-52b21b169272 · outbound

This paper cites Vasseur and J.

Second derivatives of solutions to the 3D incompressible Navier-Stokes equation in Lebesgue spaces Vasseur and J

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T15:54:24.752298Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-12T06:34:41.77262+00:00.

Pith citing papers

No inbound Pith citation observations are available.