Paper Citation Record · LEDGER

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces

As of 20 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2504.16401.

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

pith.paper-citation-record.v1
2504.16401 v1

Coverage vector

measured 42 of 42 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:10:41.647434Z

measured 42 of 42 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

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Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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

Source: cited_works

Reference resolution

42 of 42 outbound references displayed

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External citation measurements

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Outbound references

Observation d838e3ff-12db-41db-9572-21608895bb0b · outbound

This paper cites Enhanced Dissipation, Taylor Dispersion, and Inviscid Damping of Couette flow in the Boussinesq system on the Plane.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Enhanced Dissipation, Taylor Dispersion, and Inviscid Damping of Couette flow in the Boussinesq system on the Plane

Reference 1

Resolution: unresolved; no resolver link, observed 2026-08-16T11:10:41.122514Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation fca02b2e-447e-4165-8c9f-18244410f918 · outbound

This paper cites and Dolce M.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Dolce M

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.330369Z

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 94f497b4-b2f6-4655-aa2a-ba4d4b3c8f1f · outbound

This paper cites and Masmoudi N.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Masmoudi N

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.314834Z

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 66ff3c14-20be-409e-b97f-2a5fbd86be11 · outbound

This paper cites and Masmoudi N.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Masmoudi N

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.300403Z

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 06d40aac-1c82-4906-8194-9ecd983bd2b9 · outbound

This paper cites and Vicol, V.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Vicol, V

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.286410Z

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 7948953b-ec20-45b0-a8d4-c10c9e747c8c · outbound

This paper cites and Wang F.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Wang F

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.272021Z

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 07e06d1f-659b-441b-94ae-73b9d8806f4f · outbound

This paper cites Transition Threshold for Strictly Monotone Shear Flows in Sobolev Spaces.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Transition Threshold for Strictly Monotone Shear Flows in Sobolev Spaces

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-16T11:10:41.458377Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 10a2ee77-29c6-4e2c-abc2-e4b55f790289 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 8

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:10:42.258399Z

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 7efe1c32-c830-4948-9679-2efb0daaf145 · outbound

This paper cites Nonlinear stability for 3-D plane Poiseuille flow in a finite channel.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Nonlinear stability for 3-D plane Poiseuille flow in a finite channel

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-16T11:10:41.472041Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation afd4ea44-a20f-40a5-b800-733aabac15ca · outbound

This paper cites and Zhang Z.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhang Z

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.242724Z

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 95f76397-5a7f-43ae-9fba-8550384fba37 · outbound

This paper cites and Zhang Z.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhang Z

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.227122Z

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 f5dfcfad-57c3-47aa-a3a8-da747d35a7e1 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 12

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:10:42.211819Z

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

Observation 7ad45fc9-b175-4a83-9cec-1c24308bfdf2 · outbound

This paper cites and Del Zotto A.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Del Zotto A

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.196998Z

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 50bdc806-2cd4-4d04-93b2-a5cda89bf9a9 · outbound

This paper cites Stability of viscous three-dimensional stratified Couette flow via dispersion and mixing.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Stability of viscous three-dimensional stratified Couette flow via dispersion and mixing

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-16T11:10:41.504652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 58d34b50-5d80-4e49-a7ac-0dc110bf2347 · outbound

This paper cites On the stability of viscous three-dimensional rotating Couette flow.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces On the stability of viscous three-dimensional rotating Couette flow

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-16T11:10:41.511706Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 21fa1c68-da00-4a8b-bbb7-08ba88df2b92 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:10:42.181754Z

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

Observation 06360581-5aed-420f-b092-442a3b94d85b · outbound

This paper cites Suppression of blow-up for the 3D Patlak-Keller-Segel-Navier-Stokes system via the Couette flow.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Suppression of blow-up for the 3D Patlak-Keller-Segel-Navier-Stokes system via the Couette flow

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-16T11:10:41.523352Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c3472234-4212-46e6-998c-51304e8b446a · outbound

This paper cites and Zhang P.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhang P

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.165735Z

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 8dec6c0f-06be-45a3-aac9-feb29c341d78 · outbound

This paper cites and Lin Z.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Lin Z

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.151982Z

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 54e4457f-8e0c-4628-8074-8e4abeca84be · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:10:42.136906Z

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

Observation 63734ee5-a076-4708-a1d8-68db59256f16 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:10:42.122178Z

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

Observation bdb30766-961c-4e57-9d0f-b37d6fdbb74b · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:10:42.106608Z

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 7aaf05fd-eae1-4684-92f5-9ba669491c69 · outbound

This paper cites On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow

Reference 23

Resolution: unresolved; no resolver link, observed 2026-08-16T11:10:41.551491Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation bd6b73e3-b4c2-4538-8a97-9956f69e5fe0 · outbound

This paper cites Stability of the Couette flow for 3D Navier-Stokes equations with rotation.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Stability of the Couette flow for 3D Navier-Stokes equations with rotation

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-16T11:10:41.556157Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation c162c265-9be4-4d16-83d1-3f288d4dbb14 · outbound

This paper cites and Zhao W.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhao W

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.090390Z

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 4a044a45-20d1-4a98-a337-c8c7e8ffa106 · outbound

This paper cites and Zhang Z.(2020).

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhang Z.(2020)

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.075225Z

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

Observation 5321cbf5-a1ea-4f58-a708-180426c851b5 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:10:42.059363Z

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

Observation eab278bb-6acf-410a-a5e4-5948cfdfa0b5 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:10:42.044152Z

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

Observation 04f8322e-49b7-4ad3-8dcf-cd9e26da3ea9 · outbound

This paper cites and Zhao W.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhao W

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.028342Z

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 60abdf50-1105-421a-94f6-ab6574780dab · outbound

This paper cites and Zhao W.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhao W

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:42.013003Z

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 78f2c8e3-5152-45b2-8841-3c6b9265fea3 · outbound

This paper cites Improved stability threshold of the Two-Dimensional Couette flow for Navier-Stokes-Boussinesq Systems via quasi-linearization.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Improved stability threshold of the Two-Dimensional Couette flow for Navier-Stokes-Boussinesq Systems via quasi-linearization

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-16T11:10:41.591652Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 979fc4f1-8402-4634-b053-910c3b8a5318 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:10:41.997866Z

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 ef41006e-3bca-4109-9e2d-f46a98ab2a94 · outbound

This paper cites and Zi R.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zi R

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:41.982022Z

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 e385176f-16c7-4cdb-95fc-fb024878c08e · outbound

This paper cites Enhanced dissipation and stability of Poiseuille flow for two-dimensional Boussinesq system.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Enhanced dissipation and stability of Poiseuille flow for two-dimensional Boussinesq system

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-16T11:10:41.606439Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 5ccd6748-2fd4-45a1-854c-a874b24d4d55 · outbound

This paper cites and Zhang Z.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhang Z

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:41.966270Z

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 d218618d-d695-455c-92e3-ecac23580e43 · outbound

This paper cites and Zhang Z.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhang Z

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:41.951393Z

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 1d3b6310-e6fb-4734-9315-b9a6e88d2010 · outbound

This paper cites and Zhao W.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhao W

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:41.936192Z

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 5f9c842b-7199-4527-bfbb-ecae9bd5f1c6 · outbound

This paper cites and Zi R.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zi R

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:41.920241Z

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 e04944b1-ba2d-4be7-b11c-cb2a55ef0973 · outbound

This paper cites and Zhao W.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zhao W

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:41.905482Z

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 859ef000-cb2f-45e6-977a-ec562c761df6 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 40

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:10:41.890404Z

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 9c9da5a9-2dab-40bb-bfdf-3fe0a905d579 · outbound

This paper cites and Zi R.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces and Zi R

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-16T11:10:41.873627Z

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 b1d45de8-fff7-4a01-815a-c1c7083be562 · outbound

This paper cites an unresolved cited work.

Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces Unresolved cited work

Reference 42

Resolution: unresolved; raw_fallback, observed 2026-08-16T11:10:41.857356Z

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.

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