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Paper Citation Record · LEDGER

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space

As of 12 August 2026, this Paper Citation Record lists 67 of 67 outbound references and 1 inbound Pith citation observation for arXiv:2501.09698.

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

pith.paper-citation-record.v1
2501.09698 v3

Coverage vector

measured 67 of 67 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T19:59:47.838793Z

measured 68 of 68 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 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T18:10:19.628104Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-06T18:11:15.277302Z

Reference resolution

67 of 67 outbound references displayed

  • verified exact0
  • verified fuzzy64
  • unresolved3
  • parse uncertain0
  • malformed identifier0
  • metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation fda11777-4ff2-40ec-9000-501d0574eb2c · outbound

This paper cites Albritton, E.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Albritton, E

Reference 1

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.528087Z

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=2026-08-10T19:59:47.266317Z digest=sha256:582ef2663c86b67ab3bd3d1b634875c5993cc18d377f79145e986f07da78c9d3

Observation 5c2c8423-40d5-415f-8818-26acb8078c54 · outbound

This paper cites Albritton, E.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Albritton, E

Reference 2

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.504170Z

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=2026-08-10T19:59:47.273967Z digest=sha256:f3a5d2608de2a56e9891603136deb1de6d0954bb5b17fc8c0f5e54d662fcb9d4

Observation 0f6c2790-862e-4c2e-acd9-71874bd1da61 · outbound

This paper cites Batchelor, The theory of homogeneous turbulence, C ambridge Monographs on Mechan- ics and Applied Mathematics, Cambridge University Press, 1 953.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Batchelor, The theory of homogeneous turbulence, C ambridge Monographs on Mechan- ics and Applied Mathematics, Cambridge University Press, 1 953

Reference 3

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.479191Z

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=2026-08-10T19:59:47.280152Z digest=sha256:d27b54f5453af8967282c3784cc85c10b43f5af6f5b7e8bdb397a35ab1834b86

Observation 68f7ba64-784b-4984-b057-635b7f40a9e7 · outbound

This paper cites Beekie, T.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Beekie, T

Reference 4

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.454840Z

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=2026-08-10T19:59:47.287647Z digest=sha256:98fdae0e622e46ae5fe3bc68fad8ba778d2507c71c8ebc9133cf6252ac20da17

Observation 8f4907c5-5d58-4288-8d40-13e3427dfddb · outbound

This paper cites Beekie and M.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Beekie and M

Reference 5

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.430200Z

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=2026-08-10T19:59:47.419340Z digest=sha256:482377678c4c7c7c4bd8010a6f187339213e3eaa68ab9d1d9e55f9c78fe07376

Observation 0688b183-acc9-4410-a99e-4960258b921a · outbound

This paper cites Brezis and P.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Brezis and P

Reference 6

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.404469Z

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=2026-08-10T19:59:47.425732Z digest=sha256:6a2d090b891cae54595ed74d6ef04185c04a57cb0371215a4644a2ed1fe3f7c4

Observation cfb64705-973f-48ee-be9b-0cf39dd39c64 · outbound

This paper cites Buckmaster, M.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Buckmaster, M

Reference 7

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.382404Z

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=2026-08-10T19:59:47.432442Z digest=sha256:4b0e132f3b7e6d180326e283a31ead4b0bc34ae1483f506e5ff7c5db60c80163

Observation 76f0e07a-5d11-44d8-9bbe-d10e7e3b1968 · outbound

This paper cites Buckmaster, C.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Buckmaster, C

Reference 8

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.359895Z

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=2026-08-10T19:59:47.439927Z digest=sha256:744f258a86d920e477e8cdd3336145e1b56068d9afd242a3030c87905849570f

Observation 60d5e9c8-6645-44b3-b7f0-3ec8d7322dd1 · outbound

This paper cites Buckmaster, C.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Buckmaster, C

Reference 9

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.339881Z

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=2026-08-10T19:59:47.446238Z digest=sha256:6b75f38c8292c698f11f510359cdb747ed7d578121abbd5cc303e7db8ee1e948

Observation 5a793f36-d6a8-4990-a86b-c6faa46b790f · outbound

This paper cites Buckmaster, N.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Buckmaster, N

Reference 10

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.318885Z

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=2026-08-10T19:59:47.454129Z digest=sha256:4423135992cd82157ef2076edfd5a38dfeaab2c3a52d80520c8d56e041461b9a

Observation 42946dbc-66e9-4bdc-a2d7-c63624f1a0d3 · outbound

This paper cites Buckmaster and V.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Buckmaster and V

Reference 11

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.286594Z

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=2026-08-10T19:59:47.460738Z digest=sha256:bfa0355fe786f60b8e3cd69bd922445da01895ae22a197101bf1dc933921108d

Observation dd11b14b-a6f8-45c6-90ec-eea7d0eb0f95 · outbound

This paper cites Buckmaster and V.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Buckmaster and V

Reference 12

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.257431Z

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=2026-08-10T19:59:47.468312Z digest=sha256:d4f270163ee01b84648906626a98b03945686a8e716d3e45d1e4e5d7ca19e183

Observation 9d41e918-7b46-458c-be1b-eaf92604909a · outbound

This paper cites Buckmaster and V.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Buckmaster and V

Reference 13

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.227139Z

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=2026-08-10T19:59:47.474993Z digest=sha256:6adc10b1284e9d7005fc49d951f0590096d17c41fba045c55f6c53e1f4b79789

Observation 8ecbe9c2-ca44-4e22-ac4a-603f8c5f7bbb · outbound

This paper cites Conti, C.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Conti, C

Reference 14

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.205394Z

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=2026-08-10T19:59:47.481029Z digest=sha256:adb46401feedab0045273fa73d92285771b6641e52a2f23ccb80a5d2a54e5963

Observation 0c41337e-0d60-416f-b2c3-2ef4e5407478 · outbound

This paper cites Cannone, Y.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Cannone, Y

Reference 15

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.182119Z

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=2026-08-10T19:59:47.486834Z digest=sha256:400c9977682ae89dc765d0c57c2814e33b2256f24dcd33c08071b08e9ec9c482

Observation d54405cf-c94b-4e37-b8f4-510a741e17c7 · outbound

This paper cites Chemin, About weak-strong uniqueness for the 3D i ncompressible Navier-Stokes system.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Chemin, About weak-strong uniqueness for the 3D i ncompressible Navier-Stokes system

Reference 16

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.158013Z

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=2026-08-10T19:59:47.493164Z digest=sha256:a6733102c6ba9ecddb53d18b9fbf8c799dd0fb1c771f441aca0611d0fb59d88b

Observation c2b70add-6605-4924-9e82-4abb513aedaa · outbound

This paper cites Cheskidov and X.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Cheskidov and X

Reference 17

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.133756Z

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=2026-08-10T19:59:47.500102Z digest=sha256:06e6b260850a03d1aab7ddaffe998abaab31e214c562119c33af5f2a6f46cc46

Observation aa1ba3ea-0c8a-4f1d-83da-fea3bc223f41 · outbound

This paper cites Cheskidov and X.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Cheskidov and X

Reference 18

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.111745Z

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=2026-08-10T19:59:47.505628Z digest=sha256:e35707fb5c029cb2cc2e986ac2590dc0b38788bcdb1a531d62307e846def53c9

Observation f2c2214b-e5fc-47e9-a402-a62686847c49 · outbound

This paper cites Constantin, E.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Constantin, E

Reference 19

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.090464Z

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=2026-08-10T19:59:47.513117Z digest=sha256:57b477986587cc6a52c6337211aa462b454df2c3e8f738de6c3bbf76eea2d0ab

Observation ec67a64f-a90a-4f10-8718-9cf279f16a07 · outbound

This paper cites Daneri and L.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Daneri and L

Reference 20

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.065385Z

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=2026-08-10T19:59:47.519284Z digest=sha256:740591bdf54012680032c883cc77235d9cd5e56376a183441792ff0e83d8009c

Observation 31d35fd9-82d8-4a4c-8400-08d78d6e3520 · outbound

This paper cites De Lellis and L.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space De Lellis and L

Reference 21

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.040964Z

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=2026-08-10T19:59:47.526458Z digest=sha256:97130f61b036b768ab76749570fa4550d9381c63652cb7cd7bb471fc5d59a971

Observation acaa891f-2c97-4d91-aa69-bc615123a8d2 · outbound

This paper cites De Lellis and L.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space De Lellis and L

Reference 22

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:49.016646Z

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=2026-08-10T19:59:47.532215Z digest=sha256:3fc3765297230c39a9413cfac1e7b37c800b72e0267b5dd26e53562022472a87

Observation 48ed6813-87f1-49ad-b734-f54034cf6931 · outbound

This paper cites De Lellis and Sz´ ekelyhidi, Dissipative Euler flows a nd Onsager’s conjecture.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space De Lellis and Sz´ ekelyhidi, Dissipative Euler flows a nd Onsager’s conjecture

Reference 23

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.992363Z

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=2026-08-10T19:59:47.539273Z digest=sha256:1d045cd91a3867f1c05359688cf77d5532c7ca92bab6aff3fb0b14844ea2d6fd

Observation 55467c3a-1dca-4b4a-af7e-d9896b0c1531 · outbound

This paper cites Fabes, B.F.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Fabes, B.F

Reference 24

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.969367Z

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=2026-08-10T19:59:47.546991Z digest=sha256:1937fa148aeb387af082a755753532b66960bd98e2985d34cbf44670b076a7ea

Observation 85697a1d-99ba-4bc1-8bbe-0c606dd4bf7c · outbound

This paper cites Fefferman, Existence and smoothness of the Navier–St okes equation, Navier–Stokes Equa- tion – Offical Problem Description, Clay Mathematics Institu te Millennium Problems, 2000.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Fefferman, Existence and smoothness of the Navier–St okes equation, Navier–Stokes Equa- tion – Offical Problem Description, Clay Mathematics Institu te Millennium Problems, 2000

Reference 25

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.947502Z

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=2026-08-10T19:59:47.553887Z digest=sha256:351182d198c92a5c95197cedc14773170a3407220b17cdb8357dba7f6dcdd5b1

Observation ab4db9ff-022a-4580-a42a-df878360a958 · outbound

This paper cites Foias, O.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Foias, O

Reference 26

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.924306Z

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=2026-08-10T19:59:47.560922Z digest=sha256:657eb2a089a8cd1fcfe3b5a4c7cb3d7ede6bf784d40c3b4d0676806716b45596

Observation 2b7a3de9-ef83-4df9-a8ca-f06dc06c3afe · outbound

This paper cites Frisch, Turbulence.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Frisch, Turbulence

Reference 27

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.902902Z

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=2026-08-10T19:59:47.567236Z digest=sha256:626a52e20aa7f457653be77555bcee95058d5ad98fccfafc5f2636be52b861ef

Observation d320d1b1-e04f-4d39-b457-655173d3cbcf · outbound

This paper cites Fujita and T.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Fujita and T

Reference 28

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.876166Z

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=2026-08-10T19:59:47.573200Z digest=sha256:47db1eb8b281723ce4c8751f8a6eff0443c8f8eac2ac9afa58746a36553c1860

Observation 22339b32-bb26-4cd1-bfed-f577751546e1 · outbound

This paper cites Furioli, P.G.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Furioli, P.G

Reference 29

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.849714Z

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=2026-08-10T19:59:47.579840Z digest=sha256:0236fdfe96dd1efa3805606db9274fd4e95da70e95c23eae992598f424359e3d

Observation bb18af50-e59f-4234-9bfa-03482d83e600 · outbound

This paper cites Germain, Multipliers, paramultipliers, and weak-s trong uniqueness for the Navier-Stokes equations.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Germain, Multipliers, paramultipliers, and weak-s trong uniqueness for the Navier-Stokes equations

Reference 30

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.822737Z

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=2026-08-10T19:59:47.585998Z digest=sha256:1b97927c03485a3fd42656ca7781c3dcfcc5b76dbc3f2cd6815e6f5c81a5c0a7

Observation a1899376-2089-4ee6-b4bc-5ca3824a2979 · outbound

This paper cites Guillod and V.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Guillod and V

Reference 31

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.798424Z

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=2026-08-10T19:59:47.592367Z digest=sha256:58b2dda6d22139204986b57a6595d587ab69f97ef1235f967a90f475b90962c4

Observation ba339235-feed-4ae0-8955-b2835288eceb · outbound

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

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Hopf, ¨Uber die Anfangswertaufgabe f¨ ur die hydrodynamischen Gru ndgleichungen

Reference 32

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.775494Z

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=2026-08-10T19:59:47.600370Z digest=sha256:2b467addcdec6d890f32f307e4e61fb1bb404e0c9f2f15d676d5aa748b4eb28d

Observation b5b6c741-2a74-44eb-b84b-e7f74e7c9776 · outbound

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

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Isett, A proof of Onsager’s conjecture

Reference 33

Resolution
unresolved
no resolver link, observed 2026-08-10T19:59:47.606467Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T19:59:47.606467Z digest=sha256:6a504431bb3998e9b9eec24ab95958b22c107c0db0128135595be342d0d8f490

Observation 3da743b0-5393-4483-b7f8-f3c1fb083c2a · outbound

This paper cites Iskauriaza, G.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Iskauriaza, G

Reference 34

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.736091Z

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=2026-08-10T19:59:47.612885Z digest=sha256:7dc4a14c570b1bd961518d57f805904961610631c40c50cb2399640987ddf8c9

Observation 6ff1d82b-c894-4b59-9395-129f9dbebba5 · outbound

This paper cites Jia and V.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Jia and V

Reference 35

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.714384Z

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=2026-08-10T19:59:47.618697Z digest=sha256:a88fea58b69b5b0bff9c7663c075244e3424d3faf26b6ac9c86561c096e4f81d

Observation c2fa6635-9863-446b-869b-644bb5bdd7dd · outbound

This paper cites Kaneda, T.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Kaneda, T

Reference 36

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.692486Z

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=2026-08-10T19:59:47.625690Z digest=sha256:5b1c610502fe2c5cb39a1ad37f796f32017371e0f59deba3cc83c449c230b0e6

Observation f464e79e-ee4e-49fc-a0a7-2f226db2568b · outbound

This paper cites Kato, Strong Lp-solutions of the Navier-Stokes equation in Rm, with applications to weak solutions.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Kato, Strong Lp-solutions of the Navier-Stokes equation in Rm, with applications to weak solutions

Reference 37

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.671696Z

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=2026-08-10T19:59:47.631729Z digest=sha256:86e940746a9a08710496210788a1e634904b8d952939bf638f64080848cd4b8a

Observation 369ef1a4-5158-4335-a2f8-a3c8d448d1ca · outbound

This paper cites Kiselev and O.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Kiselev and O

Reference 38

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.651424Z

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=2026-08-10T19:59:47.639682Z digest=sha256:5866aec2f440519001b7982d8a427a949f212bb5d47b3288431cbaf08855c5aa

Observation 1bfb5145-f9f9-4739-b45f-fba766904f8d · outbound

This paper cites Koch and D.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Koch and D

Reference 39

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.629497Z

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=2026-08-10T19:59:47.646266Z digest=sha256:1dfdc416ed3680840ba70abcf8f8afb28530a71b1f3258ed17a1a2e059af04b2

Observation 823fad58-d445-46e0-889a-a5ffbb308b95 · outbound

This paper cites Kolmogoroff, The local structure of turbulence in inc ompressible viscous fluid for very large Reynold’s numbers.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Kolmogoroff, The local structure of turbulence in inc ompressible viscous fluid for very large Reynold’s numbers

Reference 40

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.606332Z

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=2026-08-10T19:59:47.653715Z digest=sha256:7913081d00ad9f79c4c1cb71da34c2fafca970c3522c09284b0837eee96a8156

Observation afbf2358-bc00-4878-8a50-acc6616ff354 · outbound

This paper cites Kolmogoroff, On degeneration of isotropic turbulenc e in an incompressible viscous liquid.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Kolmogoroff, On degeneration of isotropic turbulenc e in an incompressible viscous liquid

Reference 41

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.584499Z

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=2026-08-10T19:59:47.660951Z digest=sha256:1a9a7666c40e4b4cb1f300fe68c23e60e79ea784aeeed1a5c04002355e8a0e82

Observation 47b18cde-78d2-4cc0-a439-dfa0492c6d01 · outbound

This paper cites Kolmogoroff, Dissipation of energy in the locally iso tropic turbulence.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Kolmogoroff, Dissipation of energy in the locally iso tropic turbulence

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.560029Z

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=2026-08-10T19:59:47.668009Z digest=sha256:14aef92bcf90666c1b3d6af21ae8dbad4cc1bb882e899d1989f9e00b7f968fe3

Observation a5981a7c-673a-4882-a35c-2e5c22f99846 · outbound

This paper cites Kuiper, On C1-isometric imbeddings.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Kuiper, On C1-isometric imbeddings

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.532923Z

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=2026-08-10T19:59:47.677029Z digest=sha256:edcfd5494ee136c0f7c973560f6a172e178bd2b2eac8e6d2dbb48bd1b0c59c2d

Observation 2b188b6f-0479-4f1f-a0f7-6aa87a6ef705 · outbound

This paper cites Kukavica, Pressure integrability conditions for un iqueness of mild solutions of the Navier- Stokes system.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Kukavica, Pressure integrability conditions for un iqueness of mild solutions of the Navier- Stokes system

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.509979Z

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=2026-08-10T19:59:47.684181Z digest=sha256:eea50cd34a88c7b7ed8d82444ee5cadebb0af85c40c09b3c70d23b529309ad6a

Observation d49549f6-2989-42ae-b9bc-f570c8dd5d73 · outbound

This paper cites Ladyˇ zenskaja, Uniqueness and smoothness of genera lized solutions of Navier-Stokes equa- tions.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Ladyˇ zenskaja, Uniqueness and smoothness of genera lized solutions of Navier-Stokes equa- tions

Reference 45

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.485211Z

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=2026-08-10T19:59:47.691841Z digest=sha256:3f8558a8e98cbcdc4f12b4a233baf0b8db24634ac5a8990145f4489ae9035797

Observation 5053feb2-fa04-48bd-bf1b-b016ab12144b · outbound

This paper cites Lemari´ e-Rieusset, Recent developments in the Navi er-Stokes problem.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Lemari´ e-Rieusset, Recent developments in the Navi er-Stokes problem

Reference 46

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.460914Z

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=2026-08-10T19:59:47.699746Z digest=sha256:446ea437094361858bd7895cff2f44ef6b4fa794608ee4248e48729fd8f57f8b

Observation 5d672dcc-1ab4-4f9b-8362-3989f21ee197 · outbound

This paper cites Lemari´ e-Rieusset, The Navier-Stokes problem in the 21st century.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Lemari´ e-Rieusset, The Navier-Stokes problem in the 21st century

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.436462Z

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=2026-08-10T19:59:47.705836Z digest=sha256:49876265460fc906e4309bf58535cfb3bc51511187fe5ff6561c50dd3d2f5669

Observation 4f95b404-9303-4342-8ccd-63b2de3ba04c · outbound

This paper cites Leray, Sur le mouvement d’un liquide visqueux emplis sant l’espace.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Leray, Sur le mouvement d’un liquide visqueux emplis sant l’espace

Reference 48

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.414556Z

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=2026-08-10T19:59:47.711955Z digest=sha256:0d9114db39155cb2b2e33e8db5ab561cfc5d90ee0edddb3e99956f453acb0793

Observation 0ce9498d-a2a0-4aaa-820c-e38b1fcece02 · outbound

This paper cites Lions and N.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Lions and N

Reference 49

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.385170Z

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=2026-08-10T19:59:47.717985Z digest=sha256:88c8d8c9e577b7fd12b33030467003acf78433a9d3eedf57a6a71efe6e831b15

Observation bcc9a0f6-20da-47cd-849c-1c966b5d688a · outbound

This paper cites Luo, Stationary solutions and nonuniqueness of weak solutions for the Navier-Stokes equa- tions in high dimensions.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Luo, Stationary solutions and nonuniqueness of weak solutions for the Navier-Stokes equa- tions in high dimensions

Reference 50

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.352292Z

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=2026-08-10T19:59:47.724226Z digest=sha256:3406640da3a76be2be06b67bdb2469368625f1f2257dfce8a342323c6e18dbe1

Observation bec1ba77-566b-4399-84e5-70ba726b4e27 · outbound

This paper cites Modena and L.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Modena and L

Reference 51

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.322537Z

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=2026-08-10T19:59:47.731729Z digest=sha256:40f898f197ffc5b831c0e52c2ec5e7f452d5dd2b4d4d2ff139a69545bfd4378c

Observation de6730d4-1476-4b20-8702-dc0a4c6670fa · outbound

This paper cites Modena and L.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Modena and L

Reference 52

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.292031Z

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=2026-08-10T19:59:47.738765Z digest=sha256:8990e10c3bd9be800d0b91a763995fa6287b8af7115c15032e59be469e56a59d

Observation 72f7ef89-2459-4bd5-a29f-d5602357b9cc · outbound

This paper cites Monin and A.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Monin and A

Reference 53

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.263995Z

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=2026-08-10T19:59:47.744977Z digest=sha256:c84b501a0b1476142983451da2b96b3bf371f38e74e85d162d92160fbc7b0501

Observation 128a851f-3103-4bb6-abe3-1c3ed969dad6 · outbound

This paper cites Monin and A.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Monin and A

Reference 54

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.238011Z

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=2026-08-10T19:59:47.751589Z digest=sha256:c8470cb32ac76faa6bbe3754f262f34172249bd11306dc3af0a9759659b0b612

Observation 5cbf2575-880f-4e58-982a-66566c855afc · outbound

This paper cites Nash, C1 isometric imbeddings.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Nash, C1 isometric imbeddings

Reference 55

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.213267Z

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=2026-08-10T19:59:47.757981Z digest=sha256:f9f64bcc734ca808fe845ca00d27547c5fb7d928c3af463abc31b2bb7458ef6a

Observation 5084b8c3-7c37-46a4-98e6-a25d2deeaf42 · outbound

This paper cites Onsager, Statistical hydrodynamics, Nuovo Cimento (9), 6 (1949), Supplemento 2, 279–287.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Onsager, Statistical hydrodynamics, Nuovo Cimento (9), 6 (1949), Supplemento 2, 279–287

Reference 56

Resolution
unresolved
no resolver link, observed 2026-08-10T19:59:47.764933Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-10T19:59:47.764933Z digest=sha256:04b686610190b9ec8a898d26bf414180e0f7cfbd90bedf90c9242aa2c4693e4d

Observation c76aea6c-7bf6-4739-a65b-1d670d042eb9 · outbound

This paper cites Pearson, P.- ˚ A.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Pearson, P.- ˚ A

Reference 57

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.157897Z

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=2026-08-10T19:59:47.772238Z digest=sha256:14410d3c0da672b7252f78ec0b8a149f81b4a5122ae1322b166c00fca52df505

Observation 9e43f40f-7e76-427f-997e-42cea089488a · outbound

This paper cites Prodi, Un teorema di unicit` a per le equazioni di Navi er-Stokes.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Prodi, Un teorema di unicit` a per le equazioni di Navi er-Stokes

Reference 58

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.131075Z

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=2026-08-10T19:59:47.778693Z digest=sha256:af43aca1e654b2a7ce970e011464c68f80472cb54db15f5f75f330023135ff53

Observation 780036af-e753-412a-b221-e82892a4f939 · outbound

This paper cites Scheffer, An inviscid flow with compact support in spac e-time.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Scheffer, An inviscid flow with compact support in spac e-time

Reference 59

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.102111Z

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=2026-08-10T19:59:47.785192Z digest=sha256:7d25def3b0f79e619f34e754959af6b85c9172da6e12e085bc14edaa3395bbae

Observation d2b54db0-6fe1-426f-82a4-d2ce1685b91d · outbound

This paper cites Serrin, On the interior regularity of weak solutions of the Navier-Stokes equations.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Serrin, On the interior regularity of weak solutions of the Navier-Stokes equations

Reference 60

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.072938Z

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=2026-08-10T19:59:47.791812Z digest=sha256:fcc97b8892f58d2f88a5aa62e4ab18348068ca4941d83c54e881585b70bcaadc

Observation b56de7ca-4cd6-4618-95a5-7bcc15013100 · outbound

This paper cites Shnirelman, On the nonuniqueness of weak solution of the Euler equation.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Shnirelman, On the nonuniqueness of weak solution of the Euler equation

Reference 61

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.046392Z

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=2026-08-10T19:59:47.798148Z digest=sha256:c28cc644a16df0125a71eca1fdd002211e2f406f9233bcc46a775da77ce3a489

Observation f20aa81c-fdc9-441a-980a-266afddb4fbd · outbound

This paper cites Shnirelman, W eak solutions with decreasing energy o f incompressible Euler equations.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Shnirelman, W eak solutions with decreasing energy o f incompressible Euler equations

Reference 62

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:48.021939Z

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=2026-08-10T19:59:47.805707Z digest=sha256:4c5251ff48141a040c6056aea0bc73ae7956971de08098bec3aae2c9255b1072

Observation 6d675485-1424-44f0-8b02-6159e0919953 · outbound

This paper cites Sreenivasan, An update on the energy dissipation rat e in isotropic turbulence.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Sreenivasan, An update on the energy dissipation rat e in isotropic turbulence

Reference 63

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:47.993227Z

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=2026-08-10T19:59:47.811795Z digest=sha256:2bad6f6ac3c91912c57142e86396ed5937d4138fd9966193475d6443278ba82c

Observation f024dd2b-5a3e-451f-ac0e-e63005c6d632 · outbound

This paper cites Sz´ ekelyhidi, From isometric embeddings to turbule nce.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Sz´ ekelyhidi, From isometric embeddings to turbule nce

Reference 64

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:47.967016Z

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=2026-08-10T19:59:47.818085Z digest=sha256:69712fab94ff1efaeca562ddcdc7bfee21a491ee147210313ada2ea373c14fa9

Observation bc34a8c0-08a8-4cb9-b2f2-494de66cac1e · outbound

This paper cites Tsinober, An informal introduction to turbulence.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Tsinober, An informal introduction to turbulence

Reference 65

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:47.944300Z

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=2026-08-10T19:59:47.824256Z digest=sha256:c22e3db22970dfc0cfce2803f63d1804448dcbe86295f4e6a20d25126d3aa487

Observation 16928300-fd27-4d10-84a1-2253e45ff7f6 · outbound

This paper cites an unresolved cited work.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Unresolved cited work

Reference 66

Resolution
unresolved
raw_fallback, observed 2026-08-10T19:59:47.915876Z

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=2026-08-10T19:59:47.832297Z digest=sha256:e79616a08f0a012aa0189816eb0f66a75c168614955afc631dfd1254a2593876

Observation 3f9aa020-9ebb-4d4c-be66-79d328f69b15 · outbound

This paper cites Wiedemann, W eak-strong uniqueness in fluid dynamics.

Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space Wiedemann, W eak-strong uniqueness in fluid dynamics

Reference 67

Resolution
verified fuzzy
raw_fallback, observed 2026-08-10T19:59:47.891394Z

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=2026-08-10T19:59:47.838793Z digest=sha256:e7faebf36ae4235a94fc9206594d5bcf1d34fd4e3949a0a180cb027518d074e9

Pith citing papers

Observation 62fc1321-6e2c-4317-baea-aeb53d97aca0 · inbound

Weak-strong uniqueness of the full coupled Navier-Stokes and Q-tensor system in dimension three cites this paper.

Weak-strong uniqueness of the full coupled Navier-Stokes and Q-tensor system in dimension three Nonuniqueness analysis on the Navier-Stokes equation in $C_{t}L^{q}$ space

Reference 57

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local_arxiv, observed 2026-08-06T18:11:15.322087Z

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=2026-08-06T18:10:19.628104Z digest=sha256:2d7f95d69c735a448e8355b164318e265789ca3cdc31692d79490faf71ab72f7