Paper Citation Record · LEDGER

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane

As of 12 August 2026, this Paper Citation Record lists 36 of 36 outbound references and 0 inbound Pith citation observations for arXiv:2608.06899.

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

pith.paper-citation-record.v1
2608.06899 v1

Coverage vector

measured 36 of 36 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:55:40.267068Z

measured 36 of 36 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+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

36 of 36 outbound references displayed

verified exact7
verified fuzzy20
unresolved9
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 6bda114e-5ef5-4df2-874e-52263f65ae59 · outbound

This paper cites an unresolved cited work.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:55:41.452331Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 1e93e76a-d2ea-42e6-a7fa-be5a98512fa4 · outbound

This paper cites Arnol’d and L.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Arnol’d and L

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.424123Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2c730994-02f9-4499-82fa-082b7a54ea98 · outbound

This paper cites Asymptotic behaviour of solutions of linearized Navier Stokes equations in the long waves regime.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Asymptotic behaviour of solutions of linearized Navier Stokes equations in the long waves regime

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T18:55:40.057195Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 19e9592c-7c38-4742-b38b-cf74fc58e068 · outbound

This paper cites Bedrossian and N.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Bedrossian and N

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.404519Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e15e80fd-579c-4abc-a2ca-7ebf9176e3dc · outbound

This paper cites Bedrossian, N.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Bedrossian, N

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.383508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3d0cbeff-bc16-4506-ad13-da1cbf5fc467 · outbound

This paper cites Bedrossian, P.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Bedrossian, P

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.358616Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7fd1e8c1-ae8c-4e34-b3a8-c44588a926b3 · outbound

This paper cites Boffetta and R.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Boffetta and R

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.219808Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2d037a5f-c228-40d5-8682-2c24e7f15c3e · outbound

This paper cites Bradshaw.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Bradshaw

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.199220Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 31d69581-7943-4708-934c-0ef05fb2713a · outbound

This paper cites Chandrasekhar.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Chandrasekhar

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.179919Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 84a60f71-afd1-4f2e-a121-a4af82454ab9 · outbound

This paper cites Colombo, M.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Colombo, M

Reference 10

Resolution: verified exact; raw_fallback, observed 2026-08-10T18:55:40.740174Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 51c53d69-8496-4991-8284-837290d96f59 · outbound

This paper cites an unresolved cited work.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:55:41.162295Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bb3bbc2c-16f9-43b1-a98c-9f49e961628e · outbound

This paper cites Drazin and W.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Drazin and W

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.143498Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 136b742f-1a32-49ed-a63d-82860f5841d6 · outbound

This paper cites Drazin, D.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Drazin, D

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.125392Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e4879552-b1a8-4ac6-886a-0c5ac982cc86 · outbound

This paper cites an unresolved cited work.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Unresolved cited work

Reference 14

Resolution: verified exact; raw_fallback, observed 2026-08-10T18:55:40.649797Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 6cd12e50-5e14-4e00-8e38-adbb04c80a82 · outbound

This paper cites Gallagher and L.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Gallagher and L

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.109172Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation cf01ab92-9e7e-4de4-9834-813059e41f76 · outbound

This paper cites Grenier, Y.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Grenier, Y

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.087608Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation bfbcdd2e-bc11-4056-887f-745e6525c2eb · outbound

This paper cites Grenier, Y.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Grenier, Y

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.062120Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d82e9216-371f-49c5-af9b-c911cbcc261f · outbound

This paper cites Howard, A.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Howard, A

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:41.040538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 3c3e120f-c463-4aa2-9167-f3c6597533bf · outbound

This paper cites an unresolved cited work.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Unresolved cited work

Reference 19

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:55:41.022249Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 275babef-a911-4af3-8f81-3a7ca4b7b8f7 · outbound

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

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane On the Sobolev stability threshold for 3D Navier-Stokes equations with rotation near the Couette flow

Reference 20

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:55:40.547503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation d3fb0369-4a8d-4dc2-a069-4d9ea7ca42ba · outbound

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

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Stability of the Couette flow for 3D Navier-Stokes equations with rotation

Reference 21

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:55:40.520719Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 5f8c06b5-a4ee-4af9-b120-cb6e3653d991 · outbound

This paper cites an unresolved cited work.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:55:41.004543Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b84a7f67-866f-4c31-8ade-14922804555e · outbound

This paper cites Kobayashi and S.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Kobayashi and S

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:40.983361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 19978c41-e932-4ee9-87da-44a97de3f8f2 · outbound

This paper cites an unresolved cited work.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:55:40.957119Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation b9810c49-86a9-4e03-b0eb-df61d7ca5301 · outbound

This paper cites an unresolved cited work.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Unresolved cited work

Reference 25

Resolution: verified exact; raw_fallback, observed 2026-08-10T18:55:40.490318Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e951f56f-4757-4df5-b03f-eb45266a987f · outbound

This paper cites an unresolved cited work.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:55:40.935534Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation e7df5af4-72ea-4e0a-974c-3eac9ca8dfde · outbound

This paper cites Meshalkin and J.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Meshalkin and J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:40.915994Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation a1de932d-e7e9-4d0d-92db-722bbe8aabe7 · outbound

This paper cites an unresolved cited work.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:55:40.897352Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation f33967c5-3043-46dc-89eb-c42f6ce5f79a · outbound

This paper cites Pedlosky.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Pedlosky

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:40.876361Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 604987d4-17b7-4c18-9abe-37a5b1ed89e7 · outbound

This paper cites Pedlosky.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Pedlosky

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:40.857503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 2b6ea200-515e-49ab-a6f6-cd59fa2f9166 · outbound

This paper cites Rayleigh.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Rayleigh

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:40.840866Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation fa041c50-e2b4-4479-8987-5329b8ff41e4 · outbound

This paper cites Wei and Z.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Wei and Z

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:40.821658Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 25f5a1ab-79cd-4add-86f6-e25121ef2780 · outbound

This paper cites Linear inviscid damping for the $\beta$-plane equation.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Linear inviscid damping for the $\beta$-plane equation

Reference 33

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:55:40.360538Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation ff02ac96-3be8-41b3-9ac9-77688c56b8e2 · outbound

This paper cites an unresolved cited work.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Unresolved cited work

Reference 34

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:55:40.801518Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 297e6a26-d39f-4cf9-a21f-dc57c0989d0e · outbound

This paper cites Yudovich.

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane Yudovich

Reference 35

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:55:40.782244Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 951c1715-473c-40d2-a029-df7316a5c9b9 · outbound

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

Long-Wave Stability And Instability Of Periodic Shear Flows For The 2D Navier-Stokes Equations On The $\beta$-Plane On the stability of viscous three-dimensional rotating Couette flow

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:55:40.326459Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Pith citing papers

No inbound Pith citation observations are available.