Paper Citation Record · LEDGER

Stability threshold of the 2D Couette flow in Sobolev spaces

As of 23 August 2026, this Paper Citation Record lists 39 of 39 outbound references and 1 inbound Pith citation observation for arXiv:1908.11042.

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

pith.paper-citation-record.v1
1908.11042 v1

Coverage vector

measured 39 of 39 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-14T10:36:40.785671Z

measured 40 of 40 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-22T06:32:14.747728+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T14:14:53.924237Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T14:14:55.258953Z

Reference resolution

39 of 39 outbound references displayed

verified exact9
verified fuzzy16
unresolved14
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation f493cac4-6137-4e85-aed7-3654cd3464cf · outbound

This paper cites Bahouri, J.-Y.

Stability threshold of the 2D Couette flow in Sobolev spaces Bahouri, J.-Y

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.348306Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f01ff7b9-cc1e-4cd1-8719-da431a420379 · outbound

This paper cites Bedrossian, M.

Stability threshold of the 2D Couette flow in Sobolev spaces Bedrossian, M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.336120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 1a3e7aee-5d06-427d-b8fc-f1eb7c3b77cb · outbound

This paper cites Landau damping: paraproducts and Gevrey regularity.

Stability threshold of the 2D Couette flow in Sobolev spaces Landau damping: paraproducts and Gevrey regularity

Reference 3

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:36:41.069325Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 4991e834-c3a6-45b7-93e6-847c749734e1 · outbound

This paper cites Dynamics near the subcritical transition of the 3D Couette flow I: Below threshold case.

Stability threshold of the 2D Couette flow in Sobolev spaces Dynamics near the subcritical transition of the 3D Couette flow I: Below threshold case

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-14T10:36:40.621057Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5385cb78-952d-4768-9db9-7f5382009106 · outbound

This paper cites Dynamics near the subcritical transition of the 3D Couette flow II: Above threshold case.

Stability threshold of the 2D Couette flow in Sobolev spaces Dynamics near the subcritical transition of the 3D Couette flow II: Above threshold case

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-14T10:36:40.625707Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1f7147bf-7885-48f7-9963-b978f134b617 · outbound

This paper cites Bedrossian, P.

Stability threshold of the 2D Couette flow in Sobolev spaces Bedrossian, P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.324063Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 45ca9c0f-ff41-4922-895b-1a4ca375de30 · outbound

This paper cites Bedrossian and N.

Stability threshold of the 2D Couette flow in Sobolev spaces Bedrossian and N

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.311197Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b5fe417e-5446-42e7-ba26-0d4e1302f5d7 · outbound

This paper cites Bedrossian, N.

Stability threshold of the 2D Couette flow in Sobolev spaces Bedrossian, N

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.298881Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 3c61362c-e64b-471a-9b1a-7f00b427b3f6 · outbound

This paper cites The Sobolev stability threshold for 2D shear flows near Couette.

Stability threshold of the 2D Couette flow in Sobolev spaces The Sobolev stability threshold for 2D shear flows near Couette

Reference 9

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:36:41.029275Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 0116dd28-636a-415c-be2a-284477aec403 · outbound

This paper cites an unresolved cited work.

Stability threshold of the 2D Couette flow in Sobolev spaces Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:36:41.285913Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e5402ddf-b184-4b24-8b51-7c620dc1fd6b · outbound

This paper cites Bouchet and H.

Stability threshold of the 2D Couette flow in Sobolev spaces Bouchet and H

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.273687Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation f4faba8a-caf9-4588-a242-c75da3e9b2d8 · outbound

This paper cites Transition threshold for the 2-D Couette flow in a finite channel.

Stability threshold of the 2D Couette flow in Sobolev spaces Transition threshold for the 2-D Couette flow in a finite channel

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:36:41.013038Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b03fe104-8ba4-44b6-acc0-2d0d37bb05e1 · outbound

This paper cites Long time instability of the Couette flow in low Gevrey spaces.

Stability threshold of the 2D Couette flow in Sobolev spaces Long time instability of the Couette flow in low Gevrey spaces

Reference 14

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:36:40.984225Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b36b7aa3-7264-4a2d-82d5-131f29ca47a9 · outbound

This paper cites Stability for two-dimensional plane Couette flow to the incompressible Navier-Stokes equations with Navier boundary conditions.

Stability threshold of the 2D Couette flow in Sobolev spaces Stability for two-dimensional plane Couette flow to the incompressible Navier-Stokes equations with Navier boundary conditions

Reference 15

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:36:40.965988Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 6f947f03-8914-4770-8ac1-676167d79f55 · outbound

This paper cites an unresolved cited work.

Stability threshold of the 2D Couette flow in Sobolev spaces Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:36:41.262282Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9badd7cd-2dcd-4b73-89b4-064392a405ab · outbound

This paper cites Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method.

Stability threshold of the 2D Couette flow in Sobolev spaces Linear inviscid damping and enhanced viscous dissipation of shear flows by using the conjugate operator method

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-14T10:36:40.683390Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 9de01b86-e918-4dec-984c-d31603565079 · outbound

This paper cites On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows.

Stability threshold of the 2D Couette flow in Sobolev spaces On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-14T10:36:40.687705Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 2324f478-128a-45c1-a9d7-58b796aa8d30 · outbound

This paper cites Inviscid damping near the Couette flow in a channel.

Stability threshold of the 2D Couette flow in Sobolev spaces Inviscid damping near the Couette flow in a channel

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:36:40.926019Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 9affdfc3-efcd-40ee-8944-32ce3ffe9def · outbound

This paper cites Linear inviscid damping near monotone shear flows.

Stability threshold of the 2D Couette flow in Sobolev spaces Linear inviscid damping near monotone shear flows

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:36:40.910296Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 72f36fec-c6e4-4598-9a01-4c14a88196e1 · outbound

This paper cites Linear inviscid damping in Gevrey spaces.

Stability threshold of the 2D Couette flow in Sobolev spaces Linear inviscid damping in Gevrey spaces

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:36:40.890026Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 2462c2e8-4b00-4374-8491-d5f23e91bbd1 · outbound

This paper cites an unresolved cited work.

Stability threshold of the 2D Couette flow in Sobolev spaces Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:36:41.251190Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation e7d02314-6281-497c-9bb8-d0c9d128dcc0 · outbound

This paper cites Kelvin, Stability of ﬂuid motion-rectilinear motion of viscous ﬂui d between two parallel plates , Phil.

Stability threshold of the 2D Couette flow in Sobolev spaces Kelvin, Stability of ﬂuid motion-rectilinear motion of viscous ﬂui d between two parallel plates , Phil

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.239826Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ee57cbad-cd3b-401b-976a-da3b92063fd4 · outbound

This paper cites Landau, On the vibration of the electronic plasma , J.

Stability threshold of the 2D Couette flow in Sobolev spaces Landau, On the vibration of the electronic plasma , J

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.227947Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 7e128fc8-8a8e-48f4-bcdd-909f04bf0fd6 · outbound

This paper cites Pseudospectral bound and transition threshold for the 3D Kolmogorov flow.

Stability threshold of the 2D Couette flow in Sobolev spaces Pseudospectral bound and transition threshold for the 3D Kolmogorov flow

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-14T10:36:40.719229Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 83f55ccd-c58b-44bb-9454-3e247373127a · outbound

This paper cites Lin and C.

Stability threshold of the 2D Couette flow in Sobolev spaces Lin and C

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.215138Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 437b8e60-a462-484e-b003-d859bb16a477 · outbound

This paper cites Metastability of Kolmogorov flows and inviscid damping of shear flows.

Stability threshold of the 2D Couette flow in Sobolev spaces Metastability of Kolmogorov flows and inviscid damping of shear flows

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-14T10:36:40.855573Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 41851917-57f4-4768-8d48-8565060f1077 · outbound

This paper cites Masmoudi and W.

Stability threshold of the 2D Couette flow in Sobolev spaces Masmoudi and W

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.202906Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation c83df8e1-fec4-4094-aa55-752c0293f30d · outbound

This paper cites Mouhot and C.

Stability threshold of the 2D Couette flow in Sobolev spaces Mouhot and C

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.189467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 5ebbe300-97c2-47fb-a899-a2002f6df5e6 · outbound

This paper cites Orr, Stability and instability of steady motions of a perfect liq uid, Proc.

Stability threshold of the 2D Couette flow in Sobolev spaces Orr, Stability and instability of steady motions of a perfect liq uid, Proc

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.176786Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b36b5c99-77e3-4b55-ac4c-cc066e171924 · outbound

This paper cites Rayleigh, On the stability or instability of certain ﬂuid motions , Proc.

Stability threshold of the 2D Couette flow in Sobolev spaces Rayleigh, On the stability or instability of certain ﬂuid motions , Proc

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.164529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 61d3fb4f-f5a9-4b96-a794-e5b3cd9cd3f8 · outbound

This paper cites Ryutov, Landau damping: half a century with the great discovery , Plasma Phys.

Stability threshold of the 2D Couette flow in Sobolev spaces Ryutov, Landau damping: half a century with the great discovery , Plasma Phys

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.150157Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 43229b7c-0c84-47a5-bb33-0cf9f9eba73f · outbound

This paper cites Transition threshold for the 3D Couette flow in Sobolev space.

Stability threshold of the 2D Couette flow in Sobolev spaces Transition threshold for the 3D Couette flow in Sobolev space

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-14T10:36:40.755849Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation a8516fcb-0352-45ca-8164-e2fb82a83efe · outbound

This paper cites an unresolved cited work.

Stability threshold of the 2D Couette flow in Sobolev spaces Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:36:41.135249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation ec94b39e-4fd6-4218-a63f-2d02a2ede60d · outbound

This paper cites an unresolved cited work.

Stability threshold of the 2D Couette flow in Sobolev spaces Unresolved cited work

Reference 35

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:36:41.121912Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 471d09b9-d4c4-4fd5-831f-d8d0fbb4cb67 · outbound

This paper cites Linear inviscid damping and enhanced dissipation for the Kolmogorov flow.

Stability threshold of the 2D Couette flow in Sobolev spaces Linear inviscid damping and enhanced dissipation for the Kolmogorov flow

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-14T10:36:40.770361Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bfbfa31a-a604-4e8e-a873-dedbe3c84a69 · outbound

This paper cites an unresolved cited work.

Stability threshold of the 2D Couette flow in Sobolev spaces Unresolved cited work

Reference 37

Resolution: unresolved; raw_fallback, observed 2026-08-14T10:36:41.108877Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation b1a84249-70e5-4ac2-bc46-99a93d4f04e9 · outbound

This paper cites Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow.

Stability threshold of the 2D Couette flow in Sobolev spaces Enhanced dissipation in the Navier-Stokes equations near the Poiseuille flow

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-14T10:36:40.778263Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c07ab028-bf4b-4dd9-b1c0-5b6aee173135 · outbound

This paper cites Zillinger, Linear inviscid damping for monotone shear ﬂows , Trans.

Stability threshold of the 2D Couette flow in Sobolev spaces Zillinger, Linear inviscid damping for monotone shear ﬂows , Trans

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.095546Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Observation 73c2dc7d-4b69-481b-8cc3-ec89ad958f73 · outbound

This paper cites Zillinger, On circular ﬂows: Linear stability and damping , J.

Stability threshold of the 2D Couette flow in Sobolev spaces Zillinger, On circular ﬂows: Linear stability and damping , J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-14T10:36:41.082276Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.

Pith citing papers

Observation 6eb575c9-80f0-4c67-955a-f86fc2c0354d · inbound

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field cites this paper.

The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field Stability threshold of the 2D Couette flow in Sobolev spaces

Reference 28

Resolution: verified exact; local_arxiv, observed 2026-08-07T14:14:55.341200Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-22T06:32:14.747728+00:00.