Paper Citation Record · LEDGER

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow

As of 7 August 2026, this Paper Citation Record lists 33 of 33 outbound references and 1 inbound Pith citation observation for arXiv:2505.23391.

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

pith.paper-citation-record.v1
2505.23391 v1

Coverage vector

measured 33 of 33 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T12:58:18.956660Z

measured 34 of 34 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-07T06:34:17.273281+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-07T11:10:18.245485Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-08-07T11:10:18.465510Z

Reference resolution

33 of 33 outbound references displayed

verified exact6
verified fuzzy25
unresolved2
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation da8b734c-8836-4fa9-b2da-f7fedd28bed7 · outbound

This paper cites Nonlinear inviscid damping and shear-buoyancy instability in the two-dimensional B oussinesq equations.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Nonlinear inviscid damping and shear-buoyancy instability in the two-dimensional B oussinesq equations

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:23.425456Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2ff7ef1f-f7ed-4e94-8e22-0e62f0bdc8f8 · outbound

This paper cites On the stability threshold for the 3 D C ouette flow in S obolev regularity.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow On the stability threshold for the 3 D C ouette flow in S obolev regularity

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:23.301844Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3934b28f-1475-4c58-b910-12205cfd6bea · outbound

This paper cites Inviscid damping and the asymptotic stability of planar shear flows in the 2 D E uler equations.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Inviscid damping and the asymptotic stability of planar shear flows in the 2 D E uler equations

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:23.169142Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7693c4ed-5ac1-41ce-bab8-be1d51635167 · outbound

This paper cites Inviscid damping and the asymptotic stability of planar shear flows in the 2d E uler equations.

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:23.006550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7b7f2c3c-6e22-438a-ab81-5cccd96c24b5 · outbound

This paper cites Enhanced dissipation and inviscid damping in the inviscid limit of the N avier- S tokes equations near the 2D C ouette flow.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Enhanced dissipation and inviscid damping in the inviscid limit of the N avier- S tokes equations near the 2D C ouette flow

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:22.819639Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4f85cea9-e9ac-4211-b222-31046d9e6410 · outbound

This paper cites Large norm inflation of the current in the viscous, non-resistive magnetohydrodynamics equations.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Large norm inflation of the current in the viscous, non-resistive magnetohydrodynamics equations

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:58:19.596260Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3ba923ac-c2d2-4efe-b0a1-57adfe344378 · outbound

This paper cites Long-time instability of the C ouette flow in low G evrey spaces.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Long-time instability of the C ouette flow in low G evrey spaces

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:22.496529Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 54fc2177-653b-484b-b2df-e4f8de847013 · outbound

This paper cites Stability threshold of the 2D C ouette flow in a homogeneous magnetic field using symmetric variables.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Stability threshold of the 2D C ouette flow in a homogeneous magnetic field using symmetric variables

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:22.295267Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 379e9925-968a-47b5-b37b-e8dc7b50fed7 · outbound

This paper cites Echo chains as a linear mechanism: Norm inflation, modified exponents and asymptotics.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Echo chains as a linear mechanism: Norm inflation, modified exponents and asymptotics

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:22.127599Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 95a49ac2-a7f7-4b7d-899c-ae563a3f85c3 · outbound

This paper cites Stability threshold of couette flow for 2D MHD equations in the S obolev space.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Stability threshold of couette flow for 2D MHD equations in the S obolev space

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:21.985743Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6e466708-7506-431c-a44a-28d31b913273 · outbound

This paper cites Ideal Magnetohydrodynamics Around Couette Flow: Long Time Stability and Vorticity-Current Instability.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Ideal Magnetohydrodynamics Around Couette Flow: Long Time Stability and Vorticity-Current Instability

Reference 11

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:58:19.511407Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7236ae81-2f86-44e9-9518-6412284d783b · outbound

This paper cites Sobolev Stability for the 2D MHD Equations in the Non-Resistive Limit.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Sobolev Stability for the 2D MHD Equations in the Non-Resistive Limit

Reference 12

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:58:19.405553Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 7f4e1a0e-fb13-4c4b-ba11-4907c7864d0f · outbound

This paper cites On echoes in magnetohydrodynamics with magnetic dissipation.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow On echoes in magnetohydrodynamics with magnetic dissipation

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:21.886145Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation d98f1b10-2396-4fde-b4f3-07f2c1acd810 · outbound

This paper cites On the S obolev stability threshold for the 2D MHD equations with horizontal magnetic dissipation.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow On the S obolev stability threshold for the 2D MHD equations with horizontal magnetic dissipation

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:21.680978Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation dbe47dee-14a6-4ec8-9ea4-5cd00feeb46b · outbound

This paper cites On the S obolev stability threshold of 3D C ouette flow in a uniform magnetic field.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow On the S obolev stability threshold of 3D C ouette flow in a uniform magnetic field

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:21.553873Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 14cb7191-6215-431a-9dcb-c7dc57df9d1b · outbound

This paper cites Asymptotic stability of two-dimensional Couette flow in a viscous fluid.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Asymptotic stability of two-dimensional Couette flow in a viscous fluid

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-07T12:58:18.039987Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation cd1fea8d-e541-491c-b53f-409d2dfc68f2 · outbound

This paper cites Stability of C ouette flow for 2D B oussinesq system without thermal diffusivity.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Stability of C ouette flow for 2D B oussinesq system without thermal diffusivity

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:21.421166Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 398f4946-99d9-4dfd-9d40-25ffa1ecd35f · outbound

This paper cites Stability threshold of two-dimensional C ouette flow in S obolev spaces.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Stability threshold of two-dimensional C ouette flow in S obolev spaces

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:21.183021Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 599af26e-de68-4dc2-a71c-2efbdaaa1d2c · outbound

This paper cites Asymptotic stability for two-dimensional B oussinesq systems around the C ouette flow in a finite channel.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Asymptotic stability for two-dimensional B oussinesq systems around the C ouette flow in a finite channel

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:20.972370Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8c7876f5-0f6a-46d4-861a-180d1633d63e · outbound

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

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Improved stability threshold of the Two-Dimensional Couette flow for Navier-Stokes-Boussinesq Systems via quasi-linearization

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:58:19.272438Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation b8a36ff7-6c72-48dc-b706-5a7e548bd242 · outbound

This paper cites an unresolved cited work.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-08-07T12:58:20.823173Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation ce1d1998-3b67-46b7-bbe4-595cc031b9ce · outbound

This paper cites Stability threshold of C ouette flow for the 3D MHD equations.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Stability threshold of C ouette flow for the 3D MHD equations

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:20.576485Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 6f93d3d5-1990-4d88-a89d-ee90d9d6323c · outbound

This paper cites Stability and transition in shear flows.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Stability and transition in shear flows

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:20.496408Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation f3b9fe7f-a8aa-429b-8482-1278d68f28b0 · outbound

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

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow The stability threshold for 3D MHD equations around Couette with rationally aligned magnetic field

Reference 24

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:58:19.175981Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 2e2036f6-5b87-4105-b6fb-f58bfb66fd18 · outbound

This paper cites Nonlinear enhanced dissipation and inviscid damping for the 2D C ouette flow.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Nonlinear enhanced dissipation and inviscid damping for the 2D C ouette flow

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:20.411612Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8910039d-7598-4dd5-8a2f-b5cf07fedbce · outbound

This paper cites The stability threshold for 2D MHD equations around Couette with general viscosity and magnetic resistivity.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow The stability threshold for 2D MHD equations around Couette with general viscosity and magnetic resistivity

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-07T12:58:19.062221Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 0dfc430f-a01c-40b7-bef6-ac8f80977258 · outbound

This paper cites Linear inviscid damping for C ouette flow in stratified fluid.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Linear inviscid damping for C ouette flow in stratified fluid

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:20.254043Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 8d28b75b-5dfe-4f8a-a1fa-4128caf9d47e · outbound

This paper cites On enhanced dissipation for the B oussinesq equations.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow On enhanced dissipation for the B oussinesq equations

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:20.139850Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation af6c5cda-e701-46c4-b6fd-e95475846114 · outbound

This paper cites On the B oussinesq equations with non-monotone temperature profiles.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow On the B oussinesq equations with non-monotone temperature profiles

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:20.071588Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 4fc2731f-2228-400a-800b-ae26fc269af1 · outbound

This paper cites On echo chains in the linearized B oussinesq equations around traveling waves.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow On echo chains in the linearized B oussinesq equations around traveling waves

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:19.911265Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 3927fc7d-8950-4247-ac6c-d350b9e12c9c · outbound

This paper cites Stability threshold of the C ouette flow for N avier-- S tokes B oussinesq system with L arge R ichardson number.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Stability threshold of the C ouette flow for N avier-- S tokes B oussinesq system with L arge R ichardson number

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:19.813958Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation 51f63329-1827-4371-a04c-077fff908fc6 · outbound

This paper cites Stability threshold of C ouette flow for 2D B oussinesq equations in S obolev spaces.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Stability threshold of C ouette flow for 2D B oussinesq equations in S obolev spaces

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:19.780521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Observation e528940d-6cf1-4942-a91e-243e69358e49 · outbound

This paper cites Asymptotic stability of C ouette flow in a strong uniform magnetic field for the E uler- MHD system.

Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow Asymptotic stability of C ouette flow in a strong uniform magnetic field for the E uler- MHD system

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-08-07T12:58:19.699538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.

Pith citing papers

Observation a7ae98e5-466f-407e-874b-53c0dac1d801 · inbound

Transition threshold of Couette flow for 2D Boussinesq equations cites this paper.

Transition threshold of Couette flow for 2D Boussinesq equations Suppression of Fluid Echoes and Sobolev Stability Threshold for 2D Dissipative Fluid Equations Around Couette Flow

Reference 29

Resolution: verified exact; local_arxiv, observed 2026-08-07T11:10:18.469787Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-07T06:34:17.273281+00:00.