Paper Citation Record · LEDGER

Regularity, uniqueness and the relative size of small and large scales in SQG flows

As of 13 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2411.15040.

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pith.paper-citation-record.v1
2411.15040 v1

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measured 36 of 36 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-12T14:44:24.118351Z

measured 36 of 36 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-12T06:34:41.77262+00:00

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36 of 36 outbound references displayed

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Outbound references

Observation 2cdd529d-8ada-4570-a4b7-90938021fb66 · outbound

This paper cites Remarks on spars eness and regularity of Navier- Stokes solutions.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Remarks on spars eness and regularity of Navier- Stokes solutions

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.521267Z

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 de55c8d8-bff7-452c-b272-b4cee9afaa9c · outbound

This paper cites Non-un iqueness of Leray solutions of the forced Navier-Stokes equations.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Non-un iqueness of Leray solutions of the forced Navier-Stokes equations

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.510598Z

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 0ab5dd36-af32-423f-b1e5-35c2b7dcb716 · outbound

This paper cites Fourier analysis and nonlinear partial diﬀerential equations , volume 343 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences].

Regularity, uniqueness and the relative size of small and large scales in SQG flows Fourier analysis and nonlinear partial diﬀerential equations , volume 343 of Grundlehren der mathematischen Wissenschaften [Fundamental Principles of Mathematical Sciences]

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.499977Z

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Observation 69e69802-76f4-4562-8110-e57c8adaa886 · outbound

This paper cites Remarks on the separation of Navier-S tokes ﬂows.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Remarks on the separation of Navier-S tokes ﬂows

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.488941Z

Source-reported events for the cited work

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Observation 27cfd86c-6041-47cb-9cce-f5d119de1502 · outbound

This paper cites An al gebraic reduction of the ‘scaling gap’ in the Navier-Stokes regularity problem.

Regularity, uniqueness and the relative size of small and large scales in SQG flows An al gebraic reduction of the ‘scaling gap’ in the Navier-Stokes regularity problem

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.477646Z

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Observation d61c1221-c065-4522-9aab-017ef0dae2d4 · outbound

This paper cites Frequency localized regularity criteria for the 3D Navier- Stokes equations.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Frequency localized regularity criteria for the 3D Navier- Stokes equations

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.466754Z

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 f0da3ea9-100e-4aff-9eb3-5505a94a6cda · outbound

This paper cites Non uniqueness of weak solutions to the SQG equation.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Non uniqueness of weak solutions to the SQG equation

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.455807Z

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 1235e20d-34c3-4cf8-98e8-f3d4fae97f8d · outbound

This paper cites On the regularity conditions for the dissip ative quasi-geostrophic equations.

Regularity, uniqueness and the relative size of small and large scales in SQG flows On the regularity conditions for the dissip ative quasi-geostrophic equations

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.444599Z

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Observation 2dd7e5b9-e734-4adc-b360-95f2a84375ca · outbound

This paper cites Gener- alized surface quasi-geostrophic equations with singular velocities.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Gener- alized surface quasi-geostrophic equations with singular velocities

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.434167Z

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 37ceee60-3c25-4fce-bb4e-acede234081b · outbound

This paper cites Non-uniqueness o f steady-state weak solutions to the surface quasi-geostrophic equations.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Non-uniqueness o f steady-state weak solutions to the surface quasi-geostrophic equations

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.423209Z

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 0874301d-ca32-4371-a8f6-a74ad53ff59f · outbound

This paper cites Cheskidov and R.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Cheskidov and R

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.413315Z

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 d50afb2a-83a0-4b41-9ae0-9513c227b68d · outbound

This paper cites Cheskidov and R.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Cheskidov and R

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.404002Z

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 0123be5d-37eb-4490-8b9b-af5d3095ad91 · outbound

This paper cites Majda, and Esteban Tabak.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Majda, and Esteban Tabak

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.394204Z

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 376070fe-9e7c-4d3a-9054-dd2049a05dd8 · outbound

This paper cites Lon g time dynamics of forced critical SQG.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Lon g time dynamics of forced critical SQG

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.384994Z

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 0c34133f-1461-4be3-af51-d204324aef87 · outbound

This paper cites Nonlinear maximum pri nciples for dissipative linear nonlocal operators and applications.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Nonlinear maximum pri nciples for dissipative linear nonlocal operators and applications

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.374168Z

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 33e04b6c-4d2d-4b3a-b2f9-495950a58b30 · outbound

This paper cites Regularity of H¨ older continuous solutions of the supercriti- cal quasi-geostrophic equation.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Regularity of H¨ older continuous solutions of the supercriti- cal quasi-geostrophic equation

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.363090Z

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 4c88a1c3-5a12-49fd-b8ba-5a2f1a6c16a2 · outbound

This paper cites Regularity criterion and energy conservatio n for the supercritical quasi-geostrophic equation.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Regularity criterion and energy conservatio n for the supercritical quasi-geostrophic equation

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.352543Z

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 0788f414-acda-4453-b876-6f871180a131 · outbound

This paper cites Regularity criter ia for the dissipative quasi-geostrophic equations in H¨ older spaces.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Regularity criter ia for the dissipative quasi-geostrophic equations in H¨ older spaces

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.341819Z

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

Observation a82a5821-6d59-40a6-a9d8-74eda6f61072 · outbound

This paper cites A regularity criterion for the dissipative quasi-geostrophic equations.

Regularity, uniqueness and the relative size of small and large scales in SQG flows A regularity criterion for the dissipative quasi-geostrophic equations

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.331151Z

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 3bac168a-5142-4f5b-a4a1-82a7eda32ac1 · outbound

This paper cites Gruji´ c.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Gruji´ c

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.320153Z

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 566b2932-a168-49dc-be65-fb25b78a04ed · outbound

This paper cites Time-global regularity o f the navier-stokes system with hyper- dissipation–turbulent scenario.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Time-global regularity o f the navier-stokes system with hyper- dissipation–turbulent scenario

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.309495Z

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 643b57db-faa6-4121-90c9-84a253216bc7 · outbound

This paper cites Asymptotic criticality o f the Navier-Stokes regularity problem.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Asymptotic criticality o f the Navier-Stokes regularity problem

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.299040Z

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 97210f4c-7c78-4882-88be-0ce01f13e1b3 · outbound

This paper cites Numerical investigations of non-uniqueness for the Navier- Stokes initial value problem in borderline spaces.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Numerical investigations of non-uniqueness for the Navier- Stokes initial value problem in borderline spaces

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.289151Z

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 85839e90-b97f-444e-b5c1-776594b868be · outbound

This paper cites Held, Raymond T.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Held, Raymond T

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.279460Z

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 59cfa456-e4d4-4320-a0f2-e955d4a8598e · outbound

This paper cites Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solu tions.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solu tions

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.269928Z

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 149f25ed-ad2a-474c-bd88-ef7b4257346d · outbound

This paper cites Are the incompressible 3d N avier-Stokes equations locally ill- posed in the natural energy space? J.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Are the incompressible 3d N avier-Stokes equations locally ill- posed in the natural energy space? J

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.259171Z

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 7e148c95-791f-41e9-9965-f2a74b90d420 · outbound

This paper cites Jolly, Anuj Kumar, and Vincent R.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Jolly, Anuj Kumar, and Vincent R

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.248505Z

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 26faac2f-b889-46b7-a555-5f5d8276db20 · outbound

This paper cites Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Existence and uniqueness of the solution to the dissipative 2D quasi-geostrophic equations in the Sobolev space

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.237241Z

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 a2050637-e5f4-4abe-b4c5-08d98159e56a · outbound

This paper cites A variation on a the me of Caﬀarelli and Vasseur.

Regularity, uniqueness and the relative size of small and large scales in SQG flows A variation on a the me of Caﬀarelli and Vasseur

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.226119Z

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 9a35cc6b-3163-42b6-be2a-9ee901ce2d0c · outbound

This paper cites Global well-posedness for the critical 2D dissipative quasi-geostrophic equation.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Global well-posedness for the critical 2D dissipative quasi-geostrophic equation

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.215852Z

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 21b6128e-d853-45d2-aeed-63e0e7ffd3d0 · outbound

This paper cites Surface quasi-geostrophy.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Surface quasi-geostrophy

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.205390Z

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 3ae7294d-f990-4469-89d8-8e23c53a1f28 · outbound

This paper cites A class of large so lutions to the supercritical surface quasi-geostrophic equation.

Regularity, uniqueness and the relative size of small and large scales in SQG flows A class of large so lutions to the supercritical surface quasi-geostrophic equation

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.194307Z

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 70186816-6e54-4baa-88f3-39482906f4f6 · outbound

This paper cites Existence and regularity of weak solu tions to the quasi-geostrophic equations in the spaces Lp or ˙H −1/2.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Existence and regularity of weak solu tions to the quasi-geostrophic equations in the spaces Lp or ˙H −1/2

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.183286Z

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 dfdcb5be-d56c-4411-b292-41d56b69828a · outbound

This paper cites Dissipative quasi-geostrophic equat ion for large initial data in the critical Sobolev space.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Dissipative quasi-geostrophic equat ion for large initial data in the critical Sobolev space

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.171498Z

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 3adf95a2-5422-48ba-9a4f-d105aa3ac241 · outbound

This paper cites Nonuniqueness of weak solutions to the 3 dimensional quasi-geostrophic equations.

Regularity, uniqueness and the relative size of small and large scales in SQG flows Nonuniqueness of weak solutions to the 3 dimensional quasi-geostrophic equations

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.160431Z

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 be70d32e-f6fa-4d86-a079-c618907aec94 · outbound

This paper cites On regularity criterion for the dissipative q uasi-geostrophic equations.

Regularity, uniqueness and the relative size of small and large scales in SQG flows On regularity criterion for the dissipative q uasi-geostrophic equations

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T14:44:24.149730Z

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.

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