Paper Citation Record · LEDGER

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure

As of 20 August 2026, this Paper Citation Record lists 43 of 43 outbound references and 0 inbound Pith citation observations for arXiv:2411.10052.

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

pith.paper-citation-record.v1
2411.10052 v3

Coverage vector

measured 43 of 43 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-12T20:08:34.144043Z

measured 43 of 43 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links

measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

43 of 43 outbound references displayed

verified exact1
verified fuzzy27
unresolved15
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 433193ed-8233-4aeb-bcfe-d166e7bfa6b8 · outbound

This paper cites Alexandre, Y.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Alexandre, Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:37.239802Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f2d4f27f-87ef-449c-b391-1d6dd12a3966 · outbound

This paper cites Cannone, M.C.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Cannone, M.C

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:37.169631Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 1cdc96f2-01be-450a-86d4-7c8796c1d641 · outbound

This paper cites Cannone, M.C.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Cannone, M.C

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:37.150056Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a1077be3-6760-4251-bffc-a87bed0d6bd9 · outbound

This paper cites Chen, L.Z.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Chen, L.Z

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:37.107254Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 66c51898-cb39-42c0-9ca9-e0c9b3b976c4 · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 5

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:37.066541Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e1beb1ff-b281-4168-bd71-f33a85ed911c · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 6

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:37.031162Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9892300b-593f-4526-87f7-6890f02be48e · outbound

This paper cites Dalibard, H.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Dalibard, H

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:36.989945Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation f44027d5-678f-434e-a4aa-96d4b19599bf · outbound

This paper cites Dietert, D.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Dietert, D

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:36.944185Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 58b19b20-a567-4807-a43a-d831c6a82b3e · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:36.886124Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation edde26f3-f292-4073-ba1c-1da1c8d608b4 · outbound

This paper cites Fan, L.Z.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Fan, L.Z

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:36.864586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 502b042c-a7f7-4b16-828e-ab6e61fa7e18 · outbound

This paper cites G´ erard-Varet, E.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure G´ erard-Varet, E

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:36.804776Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d4d7c2f8-ac7a-409d-982e-46fea87c6f7b · outbound

This paper cites G´ erard-Varet, N.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure G´ erard-Varet, N

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:36.752723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 2beba331-8ec4-4936-a82b-0de54c9bfd77 · outbound

This paper cites G´ erard-Varet and T.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure G´ erard-Varet and T

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:36.703127Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 5a8108c3-4966-4564-9a0c-fa6170899455 · outbound

This paper cites Grenier, On the nonlinear instability of Euler and Prandtl equations, Comm.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Grenier, On the nonlinear instability of Euler and Prandtl equations, Comm

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:36.670397Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 3171783e-5b52-4587-bab8-f3448ed42585 · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:36.612895Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8c7e5346-7d3b-4f72-9a3d-a5a0448c9aaa · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:36.543419Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d1d74766-7177-4c76-8144-9dc374ea5676 · outbound

This paper cites Igntova, V.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Igntova, V

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:36.401630Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0e01c6f2-7d56-4527-ac20-beba2d94960e · outbound

This paper cites Kukavica, V.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Kukavica, V

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:36.282234Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 16db8766-3832-462c-84e0-70777f2bbb18 · outbound

This paper cites Kukavica, N.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Kukavica, N

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:36.180250Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation de9f5e80-48c2-40bc-a9b5-664701519ab2 · outbound

This paper cites Gevrey well-posedness of the hyperbolic Prandtl equations.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Gevrey well-posedness of the hyperbolic Prandtl equations

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-12T20:08:34.427438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 4ebf5c8e-0c77-4b05-bf31-9e855265edd2 · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:36.126775Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 590a3012-26c6-4957-ad08-af9993df7185 · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:36.036224Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 95e259e4-4f79-47b6-a5b0-b8c79f15e4fe · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 23

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:36.015791Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e4165825-b759-4c19-b14e-4f7f0ab60a24 · outbound

This paper cites Liu, Y.G.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Liu, Y.G

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:35.959438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0582d174-8d1f-439c-aebd-aa4b1bedc0cc · outbound

This paper cites Liu, Y.G.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Liu, Y.G

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:35.861069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 9c3765fc-0110-4aed-b130-22cf2b56c704 · outbound

This paper cites Liu, Y.G.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Liu, Y.G

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:35.841933Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation e25863cb-45eb-46f0-9b74-148b11aada20 · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:35.658594Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d9f64b48-634e-44ac-a6f0-26df0c618142 · outbound

This paper cites Lombardo, M.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Lombardo, M

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:35.491624Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 0a81d78f-e756-4765-8f1d-17a4d19a171c · outbound

This paper cites Masmoudi, T.K.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Masmoudi, T.K

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:35.385021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 05f3785c-6ba5-4629-a994-64361f4da3db · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 30

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:35.362373Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 08a298f4-4444-419e-9caf-430243f1570b · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 31

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:35.272918Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 96b078f5-e6c5-46dc-a5f5-3448e9771a6f · outbound

This paper cites Paicu, P.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Paicu, P

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:35.187435Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 61ac6343-260c-49db-a4a6-0017e77e8e59 · outbound

This paper cites Well-posedness in Gevrey function space for the three-dimensional Prandtl equations.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Well-posedness in Gevrey function space for the three-dimensional Prandtl equations

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-12T20:08:33.838297Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd3a6253-dbbb-437e-a8fe-4c3e70ec61ec · outbound

This paper cites Pan, C.J.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Pan, C.J

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:35.164573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 100eb071-7bff-470c-9dc9-267102955ebe · outbound

This paper cites Qin, X.L.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Qin, X.L

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:34.991544Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation aaa7c280-8173-49fc-8f21-e5cc3280c8fb · outbound

This paper cites Qin, X.Q.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Qin, X.Q

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:34.965811Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation a5500f47-8338-4f8b-889b-3876a385ba68 · outbound

This paper cites Sammartino, R.E.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Sammartino, R.E

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:34.895709Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 8960c5c3-99eb-44dc-8d0d-5470eaf49e7c · outbound

This paper cites Sammartino, R.E.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Sammartino, R.E

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:34.842361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation d3fcb926-4a1d-41c5-b4b5-2de8d87bd5c8 · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 39

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:34.777193Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 7563d4fc-3e7a-4433-b5b3-38596c75a4a6 · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:34.744721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation fdf536a7-85fa-4ec1-b35d-58bfa595a597 · outbound

This paper cites Xin, L.Q.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Xin, L.Q

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:34.673152Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 084a5a8d-2da7-4d25-aae4-35fb808fcae5 · outbound

This paper cites an unresolved cited work.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-12T20:08:34.595303Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Observation 04885a88-5e10-4ba2-a354-9c03950347c6 · outbound

This paper cites Zhang, Z.F.

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure Zhang, Z.F

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-12T20:08:34.564391Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

Pith citing papers

No inbound Pith citation observations are available.