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Paper Citation Record · LEDGER

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$

As of 12 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 2 inbound Pith citation observations for arXiv:2412.13066.

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

pith.paper-citation-record.v1
2412.13066 v2

Coverage vector

measured 61 of 61 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-11T13:41:46.218041Z

measured 63 of 63 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 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T17:46:59.892425Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-05-10T12:15:22.069490Z

Reference resolution

61 of 61 outbound references displayed

  • verified exact0
  • verified fuzzy34
  • unresolved27
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation b3b72c81-1fe7-4c5f-b046-f797d0ad243c · outbound

This paper cites Albritton and T.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Albritton and T

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.377695Z

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.

source=pdf_text observed=2026-08-11T13:41:45.844638Z digest=sha256:a86a2c6c0e7634259200120e898a6bdda7e16a28f7992778257dd11634d7a54a

Observation 2defd22c-532e-4da7-8855-6dcedab96360 · outbound

This paper cites Albritton, E.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Albritton, E

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.359097Z

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.

source=pdf_text observed=2026-08-11T13:41:45.853529Z digest=sha256:d68949e04fa2ed4fc48ae855f061a78510fcbf648272669ecf6feb6f2840d457

Observation 6f955ece-101c-4602-8aba-0260d85de780 · outbound

This paper cites Anomalous diffusion by fractal homogenization.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Anomalous diffusion by fractal homogenization

Reference 3

Resolution
unresolved
no resolver link, observed 2026-08-11T13:41:45.860559Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:41:45.860559Z digest=sha256:27becffe2e3e6334bec0d21f6d1e3f4084b36b13e6985352130cfee8878c4acb

Observation 62f2a849-dc0a-4dc7-bb5e-fcd183cce4af · outbound

This paper cites Bahouri, J.-Y.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Bahouri, J.-Y

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.341327Z

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.

source=pdf_text observed=2026-08-11T13:41:45.867003Z digest=sha256:362bf2c7bb7bf26041c6209bdfa34c64889e901fcc056df387068e66a305ec72

Observation 8b08e21a-4920-42d4-bbdf-877feeaae28c · outbound

This paper cites Barker, G.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Barker, G

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.321534Z

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.

source=pdf_text observed=2026-08-11T13:41:45.872363Z digest=sha256:30ab003f70d687883d36fff4de4266e1b4d12211ba9d863a1a712e63966c3c6e

Observation 327d63f1-f0a1-4aec-8b58-4fb2d7695de4 · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 6

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:47.301862Z

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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Observation 9a2a863d-02b4-448c-911a-e9b52b9997da · outbound

This paper cites Braz e Silva, J.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Braz e Silva, J

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.280518Z

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.

source=pdf_text observed=2026-08-11T13:41:45.883737Z digest=sha256:0f0914b1c890891275558f2ff33692d75acf5106588c8bca96f1104ffbc02fba

Observation dd4179ca-5e2d-4455-b94b-8dffa1c32242 · outbound

This paper cites Bru´ e, M.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Bru´ e, M

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.263155Z

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.

source=pdf_text observed=2026-08-11T13:41:45.890753Z digest=sha256:03e5f43754934e7f75aa3d19882aaba2634df71f15528bb807b937ad4e0e1eab

Observation ec53b02b-6471-462d-9dfd-c6b27d32bb52 · outbound

This paper cites Bru` e and C.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Bru` e and C

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.246170Z

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.

source=pdf_text observed=2026-08-11T13:41:45.896332Z digest=sha256:7023c3d491a06348dd67e20fb8f64d33e7d04ddf5c34c7190a33b1f86abe09c3

Observation 3fff9a63-baa5-4db0-aec0-a2af14c96019 · outbound

This paper cites Buckmaster, C.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Buckmaster, C

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.229514Z

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.

source=pdf_text observed=2026-08-11T13:41:45.903310Z digest=sha256:7354b86284274c0840147485be7a05ed1bb9071fcde2d84962cff625916ce02e

Observation 5bedc8c9-c397-4e8f-89be-85eb5ccc7c17 · outbound

This paper cites Buckmaster and V.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Buckmaster and V

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.213546Z

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.

source=pdf_text observed=2026-08-11T13:41:45.909747Z digest=sha256:b5e0551436fc3a56145e52db8632402197cac2ed0257e4f3ddc4c4669cd0897e

Observation 759e62f2-eb9d-4888-80a6-7bf4f3fd664f · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 12

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:47.195080Z

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.

source=pdf_text observed=2026-08-11T13:41:45.915440Z digest=sha256:eb60d3b2dc1a2415c308d0f548add33cd753b1b310254eec5eca47d5fda90300

Observation 7b384462-8612-48d8-9b26-efabf472307e · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 13

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:47.172665Z

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.

source=pdf_text observed=2026-08-11T13:41:45.921073Z digest=sha256:14b3b14a8dfbaf7af65e528dae41b3628182a525e8ee276c945eae6331cac228

Observation e4f5037e-11ab-4712-9b2b-7f694904d5bb · outbound

This paper cites Anomalous dissipation and Euler flows.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Anomalous dissipation and Euler flows

Reference 14

Resolution
unresolved
no resolver link, observed 2026-08-11T13:41:45.926314Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:41:45.926314Z digest=sha256:34af054d298158b55948bd519a125aa420e2b8b337b3fd004653caa36cae109f

Observation 3437a0f2-3377-42d6-ad10-aa1fa69c5134 · outbound

This paper cites Cheskidov, P.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Cheskidov, P

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.154171Z

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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Observation df2bf885-cfcb-466b-b3f1-0d4e723b9644 · outbound

This paper cites Cheskidov and X.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Cheskidov and X

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.136239Z

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.

source=pdf_text observed=2026-08-11T13:41:45.937758Z digest=sha256:dcc026e50feba5584dc58168b3af166a1ef1f259662521d72fdec2f425c29979

Observation 94d4274a-efa3-49f3-92e3-7743b0d6821c · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 17

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:47.119708Z

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.

source=pdf_text observed=2026-08-11T13:41:45.943232Z digest=sha256:e75efabce8aa94221b306b6fce4eeaf470aaaf0b6fa055ac9ba0a9e8c4719c54

Observation b6f52c30-2ccd-4d56-9a97-05d707e282a9 · outbound

This paper cites Cheskidov and R.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Cheskidov and R

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.101355Z

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.

source=pdf_text observed=2026-08-11T13:41:45.948463Z digest=sha256:d882f674439c98c016c97390d769e75bba2d520396a38d541b39779e0f3152ac

Observation 42c5f0ce-ef88-470f-b29e-92e5ba7f9ac2 · outbound

This paper cites Constantin, W.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Constantin, W

Reference 19

Resolution
unresolved
no resolver link, observed 2026-08-11T13:41:45.953502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:41:45.953502Z digest=sha256:7e2bc633cb15c875eeb1d4b907b81e57e4bcffa11a2b5a6027dacb859bc9df9b

Observation 5154b82b-79c4-492d-8699-1eb719c35b22 · outbound

This paper cites Danchin and P.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Danchin and P

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.069078Z

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.

source=pdf_text observed=2026-08-11T13:41:45.958493Z digest=sha256:8be0d7681b10245bf4d09b792ab113616ad73821430efe03b1029b2c9c957dd4

Observation fc9e4bdb-7a0c-4832-aa1a-e6bb91a15365 · outbound

This paper cites De Lellis and L.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ De Lellis and L

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:47.051534Z

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.

source=pdf_text observed=2026-08-11T13:41:45.963716Z digest=sha256:f81f9a882aa5904f9b7e88cefcea11df3c718c0f9169972199b7cf8698504896

Observation acb2420a-137c-489d-8b16-3959763e8dcb · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 22

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:47.033975Z

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.

source=pdf_text observed=2026-08-11T13:41:45.970081Z digest=sha256:27856b1b48d263c5fac25ab912ff2a8c72efbe814088491844f574667a3f0838

Observation 7a62be64-d897-4b43-84e7-d147b8fbb1bc · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 23

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:47.013500Z

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.

source=pdf_text observed=2026-08-11T13:41:45.975339Z digest=sha256:368da9d896ed98e1dab7416086ea96e0dd9197b7b457c26afac5d0472de67cf1

Observation 271e0a98-a369-42ae-bf4e-6085ddaebb39 · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 24

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.997703Z

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.

source=pdf_text observed=2026-08-11T13:41:45.980378Z digest=sha256:31cd74511bab3ea5366e0484949999896a22d69fe3994ffa39d3862b05c85beb

Observation 8f693e8d-7cdb-4803-a002-74fc5a5f53ae · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 25

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.981486Z

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.

source=pdf_text observed=2026-08-11T13:41:45.985665Z digest=sha256:dc0c4fc1420e22118a576a397abe10fb04e49e74993228ca84e12605207743c5

Observation d334d879-8b80-49e9-8621-c446272f86c8 · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 26

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.965450Z

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.

source=pdf_text observed=2026-08-11T13:41:45.991956Z digest=sha256:fa4bf6d9d4a08289b7cb164e0989c20bac60f9b91582ccc10ea30f56c0de6e73

Observation bcf72e61-55af-473c-9cbb-2bc0549ef864 · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 27

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.948230Z

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.

source=pdf_text observed=2026-08-11T13:41:45.997084Z digest=sha256:0c1c4101f3d3b746ab3fd59da8ff4c53cb646d3e38ae795e6699072063fea59b

Observation d0f20f1c-f8d8-4624-a899-9b286327bf44 · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 28

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.928533Z

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.

source=pdf_text observed=2026-08-11T13:41:46.003805Z digest=sha256:0b458d2791172cd8bb782030be68e933a54a3efd560cd86770ec21e73bfd2b20

Observation 58e4856b-503d-4a77-84d8-0762e34a537a · outbound

This paper cites Eyink, Onsager’s ‘ideal turbulence’ theory, J.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Eyink, Onsager’s ‘ideal turbulence’ theory, J

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.907441Z

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.

source=pdf_text observed=2026-08-11T13:41:46.010456Z digest=sha256:f43dc893883edafda16faeaddfdc6c0ba0142fa02a20376d12054d361ba19437

Observation 33e6bbb5-1280-44b6-88b4-63301777bd4d · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 30

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.887612Z

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.

source=pdf_text observed=2026-08-11T13:41:46.015799Z digest=sha256:03351fb35ac7f24aac75e4efb625e013b89d34133487f29316f579ee016e332f

Observation aa9084df-21df-49fd-81c4-7c293296a35a · outbound

This paper cites Farwig, Y.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Farwig, Y

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.866505Z

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.

source=pdf_text observed=2026-08-11T13:41:46.021718Z digest=sha256:7d4aa7744165bf4846b877d69664e80d29a5370bfb5ca4f631f72fef8f48aaf1

Observation 22f3fadd-57e5-4d8d-8ae1-553005f94eed · outbound

This paper cites Farwig and H.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Farwig and H

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.841976Z

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.

source=pdf_text observed=2026-08-11T13:41:46.027340Z digest=sha256:ebd49fd3e79f874d95be3464416cbc1169f7237c40448e82c8d748e1ac550517

Observation e947aaf0-3c4b-459d-858e-7962b542bec0 · outbound

This paper cites Farwig, H.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Farwig, H

Reference 33

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.824152Z

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.

source=pdf_text observed=2026-08-11T13:41:46.032860Z digest=sha256:ea86df55e93a977f7b07f6c21d475b885c25400316bf05e41d6e7d62b0351712

Observation a8b5f72c-bf63-4350-b14b-80463b4cc26f · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 34

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.802820Z

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.

source=pdf_text observed=2026-08-11T13:41:46.038365Z digest=sha256:6205c803fb5549fa6aa14bcce661bb45654251ecf01fb1ec6ab0b810c32ca18a

Observation a9b1e468-6094-4f76-b46d-19588f5af967 · outbound

This paper cites Frisch, Turbulence, Cambridge University Press, Cambridge, 1995, The legacy o f A.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Frisch, Turbulence, Cambridge University Press, Cambridge, 1995, The legacy o f A

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.778947Z

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.

source=pdf_text observed=2026-08-11T13:41:46.044214Z digest=sha256:6f87158437f4ef6baf21ecebeb369450feccb8e24b8f539036c04df5fde22ee9

Observation 5bff9b26-142e-4ccf-83e6-078ffa5d8c6c · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 36

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.760598Z

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.

source=pdf_text observed=2026-08-11T13:41:46.051107Z digest=sha256:ec8cd3fa6ff92501794ca3a9d9325e3623dfe7417f5dfd85e232793a23966e48

Observation 57db9c57-f383-4e98-b0d2-0be8c35f83b5 · outbound

This paper cites Gallagher, Profile decomposition for solutions of the Navier-Stokes eq uations, Bull.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Gallagher, Profile decomposition for solutions of the Navier-Stokes eq uations, Bull

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.739883Z

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.

source=pdf_text observed=2026-08-11T13:41:46.058115Z digest=sha256:32ddaf8f7059ca5d7536ef49ae929044702e14a2ac88a9ed0446e61e75c7a0d3

Observation 1badc483-8700-4fcf-9ee9-f3330f92143b · outbound

This paper cites The $L^3$-based strong Onsager theorem.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ The $L^3$-based strong Onsager theorem

Reference 39

Resolution
unresolved
no resolver link, observed 2026-08-11T13:41:46.063502Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:41:46.063502Z digest=sha256:1b81651204e4b47192ae2712d4605c30073a67d227ed1400302a0b39aa6983d0

Observation c5b77983-2841-4dbb-8040-b058549bc84c · outbound

This paper cites Guerra, L.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Guerra, L

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.723226Z

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.

source=pdf_text observed=2026-08-11T13:41:46.075484Z digest=sha256:517ec81fcb0ccf48b836314dceb704d9563e3adc877482dea2daaa84bb4a42ff

Observation a260231e-69e4-4f1b-b607-bca31db4ef26 · outbound

This paper cites Hopf, ¨Uber die Anfangswertaufgabe f¨ ur die hydrodynamischen Gru ndgleichungen, Math.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Hopf, ¨Uber die Anfangswertaufgabe f¨ ur die hydrodynamischen Gru ndgleichungen, Math

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.706828Z

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.

source=pdf_text observed=2026-08-11T13:41:46.082304Z digest=sha256:c0ee208b7c76b7fd280d4fa010417e9cf583331cfc6df69629491c3ea96f9000

Observation de5ead9b-a991-4eca-8994-0b12af563fb8 · outbound

This paper cites Isett, A proof of Onsager’s conjecture , Ann.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Isett, A proof of Onsager’s conjecture , Ann

Reference 42

Resolution
unresolved
no resolver link, observed 2026-08-11T13:41:46.088105Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:41:46.088105Z digest=sha256:99c37250e78af5a8daaccc526140ebcacca8914565d2f04d62504edea04b557c

Observation 25eb18b5-6722-4fc5-8444-ce7c5c13c157 · outbound

This paper cites Iskauriaza, G.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Iskauriaza, G

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.678423Z

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.

source=pdf_text observed=2026-08-11T13:41:46.094775Z digest=sha256:3bb7a1f9209bb121acadb99650001dad04cd9deca55cb0b6e9d0d0daf067781b

Observation 4b2b063a-5858-4492-913b-6f7d0b46ee8d · outbound

This paper cites Nauk 58 (2003), no.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Nauk 58 (2003), no

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.660838Z

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.

source=pdf_text observed=2026-08-11T13:41:46.101074Z digest=sha256:e5f96e827de50d13ccfda067a23fccf3b13f6a24511b94c877bc1ee6157d946d

Observation 2c9cd36b-9380-4d6f-b2a9-34e60b310455 · outbound

This paper cites Jia and V.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Jia and V

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.642497Z

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.

source=pdf_text observed=2026-08-11T13:41:46.107754Z digest=sha256:b9c81a28075cfec9b82ef424e1f131fa12d1f0a2e074f54cb58c2893b32c4080

Observation fd56839e-122d-483a-bdd4-b9169228ad6f · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 46

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.624107Z

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.

source=pdf_text observed=2026-08-11T13:41:46.113578Z digest=sha256:5d9d2f8b9628fc560a3192c71e051b93d0b4ff821d00f4a13948798fde0359ac

Observation b1e4483d-c493-476a-b742-6cb18fb11b55 · outbound

This paper cites Leray, Sur le mouvement d’un liquide visqueux emplissant l’espace , Acta Math.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Leray, Sur le mouvement d’un liquide visqueux emplissant l’espace , Acta Math

Reference 47

Resolution
unresolved
no resolver link, observed 2026-08-11T13:41:46.118902Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:41:46.118902Z digest=sha256:78197c1f5fea39d4b086cc347015a3bcb9ecc64737be8c00c91d1f511c4c7a91

Observation 5c57526e-7831-4c89-81d0-b751cfb028f3 · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 48

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.593685Z

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.

source=pdf_text observed=2026-08-11T13:41:46.124193Z digest=sha256:cbe97c3247f56163d3126ad50ada89956e86152b065dc80fe870f3269f6972b3

Observation 9c29905d-ca4e-4e1b-b962-b3727e60390f · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 49

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.572875Z

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.

source=pdf_text observed=2026-08-11T13:41:46.130485Z digest=sha256:75eb3f7c54b88ea93300edccea2f299ce959bf1147e0359297f6122b4e3cb5b1

Observation 80cbd492-0b50-46c5-affc-e715cbdbdee6 · outbound

This paper cites Masmoudi, Remarks about the inviscid limit of the Navier-Stokes syste m, Comm.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Masmoudi, Remarks about the inviscid limit of the Navier-Stokes syste m, Comm

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.552240Z

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.

source=pdf_text observed=2026-08-11T13:41:46.135821Z digest=sha256:fdc3ffe553b272c484aa4f37a2de297f4402e87f300731c03447c900964465f0

Observation e865f5d4-b27c-4dbb-a592-7a886faa663c · outbound

This paper cites Novack and V.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Novack and V

Reference 51

Resolution
unresolved
no resolver link, observed 2026-08-11T13:41:46.141756Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:41:46.141756Z digest=sha256:2983314f5b228c8505db2ba97e0c0ba237dec87c78fb0b888adc7ea730b5b440

Observation 5feaa97a-3ea9-445d-af6a-08d38f17e034 · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 52

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.516522Z

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.

source=pdf_text observed=2026-08-11T13:41:46.147362Z digest=sha256:de8ef41c6f4f99e1d0528f96386a73286c59e49c8b2fb2ed9e5af7593d3e5def

Observation 437c9b74-4c9f-4dbb-8d89-bd587b3ca92d · outbound

This paper cites Rusin and V.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Rusin and V

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.491088Z

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.

source=pdf_text observed=2026-08-11T13:41:46.155121Z digest=sha256:44c1af0f95b827a1c8534710485aeff3e5f749bba8b933a8c3af6585cd83c9ee

Observation 614e7ec9-9459-4061-a523-47a87780bd6c · outbound

This paper cites Schindler and K.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Schindler and K

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.470861Z

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.

source=pdf_text observed=2026-08-11T13:41:46.161895Z digest=sha256:439dc533c8f193e4d70dd389cfd345bf830f8235317b40abc87ce4b8038c7e81

Observation f5e97aed-5fb9-43ab-9249-bde0143a8670 · outbound

This paper cites Seregin, Leray-Hopf solutions to Navier-Stokes equations with weak ly converging initial data, Mathematical aspects of fluid mechanics, London Math.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Seregin, Leray-Hopf solutions to Navier-Stokes equations with weak ly converging initial data, Mathematical aspects of fluid mechanics, London Math

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.447843Z

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.

source=pdf_text observed=2026-08-11T13:41:46.171751Z digest=sha256:44a0be7466a601c416f890fe8d6b2c7c92fcce66ebf7ca65b88922a57ea90f92

Observation 284c6410-3839-469e-b423-854ad515ee22 · outbound

This paper cites Seregin and V.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Seregin and V

Reference 56

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.429581Z

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.

source=pdf_text observed=2026-08-11T13:41:46.179733Z digest=sha256:af6774f495f152cb0288d5931380ae7504da30ed38cc3fe55be4d656207544b6

Observation 26a0a7a6-c4b7-4146-9859-9665e44a6e5c · outbound

This paper cites Shinbrot, The energy equation for the Navier-Stokes system , SIAM J.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Shinbrot, The energy equation for the Navier-Stokes system , SIAM J

Reference 57

Resolution
unresolved
no resolver link, observed 2026-08-11T13:41:46.185755Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-11T13:41:46.185755Z digest=sha256:042f7c46ff2775b3bd6f0f23dee46a098646fba4cfc6d2dc798fc4d6d33a0804

Observation ccefe6b5-130c-495b-808e-539c7ea37fac · outbound

This paper cites Shvydkoy, Lectures on the Onsager conjecture, Discrete Contin.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Shvydkoy, Lectures on the Onsager conjecture, Discrete Contin

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.396840Z

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.

source=pdf_text observed=2026-08-11T13:41:46.191985Z digest=sha256:5de24631a1c7550f70e1965f110f6b199523167029ca92599466d339cf4a8ae8

Observation aca97cf1-3fd9-40aa-a04c-691e88fa8cfa · outbound

This paper cites Tao, A quantitative formulation of the global regularity proble m for the periodic Navier- Stokes equation , Dyn.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Tao, A quantitative formulation of the global regularity proble m for the periodic Navier- Stokes equation , Dyn

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.377627Z

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.

source=pdf_text observed=2026-08-11T13:41:46.201641Z digest=sha256:d081c6fc20485040250cc29292d234f5c50b6f3582ed68dfc92c1b0c69c72cb3

Observation 8e271fca-7115-47a2-b135-75b489bf45bc · outbound

This paper cites an unresolved cited work.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Unresolved cited work

Reference 60

Resolution
unresolved
raw_fallback, observed 2026-08-11T13:41:46.357491Z

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.

source=pdf_text observed=2026-08-11T13:41:46.206795Z digest=sha256:5f1349cecdae59a394f22a057bfcd77623176ddea58630c96c8ddd852e6e0924

Observation 5575fb4a-d276-4050-a9b6-939da1b0d0f3 · outbound

This paper cites PDE 6 (2013), no.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ PDE 6 (2013), no

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.338407Z

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.

source=pdf_text observed=2026-08-11T13:41:46.212469Z digest=sha256:e5cb8fd58bed946958eb53c6b2047fd7159b72ade58549d2a69ec18074e0679e

Observation 9fa125ef-2f34-4363-8188-0a36574f56bc · outbound

This paper cites Wiedemann, Existence of weak solutions for the incompressible Euler eq uations, Ann.

On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$ Wiedemann, Existence of weak solutions for the incompressible Euler eq uations, Ann

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-11T13:41:46.319175Z

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.

source=pdf_text observed=2026-08-11T13:41:46.218041Z digest=sha256:479e663a0560b6add893115aebf8b6c1f5b6e7a570f5b586fbea53da33e783d6

Pith citing papers

Observation 49a00c7b-6b62-46fd-9f19-784ad9e49a86 · inbound

Remarks on smoothness and finite-time blowup solutions of the incompressible Navier-Stokes equation cites this paper.

Remarks on smoothness and finite-time blowup solutions of the incompressible Navier-Stokes equation On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$

Reference 15

Resolution
unresolved
no resolver link, observed 2026-08-06T17:46:59.892425Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-06T17:46:59.892425Z digest=sha256:e44a44e18a01c495fe2c6f9c58d73b04835554e0f4531fe6a6b655deba0577f1

Observation f3d1fa13-777f-4637-a458-33d209e4c3cf · inbound

The 2D Euler equations are well-posed for generic initial data in $L^2$ cites this paper.

The 2D Euler equations are well-posed for generic initial data in $L^2$ On the integrability properties of Leray-Hopf solutions of the Navier-Stokes equations on $\mathbb{R}^3$

Reference 11

Resolution
verified exact
arxiv_id, observed 2026-05-10T12:15:22.071292Z

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.

source=pdf_text observed=2026-05-10T12:12:15.542946Z digest=sha256:ea9dd8fd4a85d71d9e1519501947d6a4c075b196f24c97e49096b671653c9300