Paper Citation Record · LEDGER

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$

As of 11 August 2026, this Paper Citation Record lists 25 of 25 outbound references and 0 inbound Pith citation observations for arXiv:2601.16110.

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

pith.paper-citation-record.v1
2601.16110 v2

Coverage vector

measured 25 of 25 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-05-16T11:56:04.316037Z

measured 25 of 25 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

25 of 25 outbound references displayed

verified exact1
verified fuzzy14
unresolved10
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 94088162-18ec-43f1-b3fa-034e40d1e2f5 · outbound

This paper cites an unresolved cited work.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-05-16T11:57:50.739337Z

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 383e7485-a788-43df-b5a9-b47f5d115396 · outbound

This paper cites Bahouri, J.-Y.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Bahouri, J.-Y

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.741147Z

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 c6d59c87-b3d8-4738-8a12-3d59c419421b · outbound

This paper cites Cao and J.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Cao and J

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.743125Z

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 9fc118b2-78e1-4c76-8931-50eb76851fe5 · outbound

This paper cites Cao and J.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Cao and J

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.731798Z

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 dd1d75aa-b3a4-4fb4-b238-70f662a4bcc6 · outbound

This paper cites Choi and I.-J.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Choi and I.-J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.737473Z

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 18c21b1f-9625-46b2-9162-94d0e202d878 · outbound

This paper cites Denisov, Infinite superlinear growth of the gradient for the two-dimensional Euler equation,Discrete Contin.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Denisov, Infinite superlinear growth of the gradient for the two-dimensional Euler equation,Discrete Contin

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.733780Z

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 62a2be95-606a-45a5-9140-757a0b995a70 · outbound

This paper cites Denisov, Double-exponential growth of the vorticity gradient for the two dimen- sional Euler equation,Proc.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Denisov, Double-exponential growth of the vorticity gradient for the two dimen- sional Euler equation,Proc

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.735699Z

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 31b5127c-5a64-43cb-ad4f-d93090d2d6ce · outbound

This paper cites Denisov, The sharp corner formation in 2D Euler dynamics of patches: infinite double exponential rate of merging,Arch.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Denisov, The sharp corner formation in 2D Euler dynamics of patches: infinite double exponential rate of merging,Arch

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.727923Z

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 41ce440f-0caf-4378-a4b5-3372a569b678 · outbound

This paper cites an unresolved cited work.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Unresolved cited work

Reference 9

Resolution: unresolved; raw_fallback, observed 2026-05-16T11:57:50.729978Z

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 3dc1f941-c9d7-4087-8fcc-b6e53104ff66 · outbound

This paper cites an unresolved cited work.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-05-16T11:57:50.767551Z

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 55cddfd7-caeb-4ed9-ab23-93fb5645ebf4 · outbound

This paper cites an unresolved cited work.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-05-16T11:57:50.745094Z

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 618c23ac-139a-4558-bb78-c1c98019c38c · outbound

This paper cites Superlinear gradient growth for 2D Euler equation without boundary.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Superlinear gradient growth for 2D Euler equation without boundary

Reference 12

Resolution: verified exact; arxiv_id, observed 2026-05-16T11:57:50.030954Z

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 1b2db1d5-43b4-4317-8669-b2074ad91362 · outbound

This paper cites an unresolved cited work.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Unresolved cited work

Reference 13

Resolution: unresolved; raw_fallback, observed 2026-05-16T11:57:50.771451Z

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 145f1db7-0b29-467c-9a82-5ceb217b2f1b · outbound

This paper cites Kiselev and V.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Kiselev and V

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.769579Z

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 e2f35e4b-0428-4310-90a2-0a353ba4c60e · outbound

This paper cites an unresolved cited work.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-05-16T11:57:50.773256Z

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 6d4b3b43-3323-4d60-a2ab-d5fe8d1a1bb7 · outbound

This paper cites an unresolved cited work.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-05-16T11:57:50.748878Z

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 5947c7f1-6b79-49d7-b95a-d2ae0f41c086 · outbound

This paper cites Majda and A.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Majda and A

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.759095Z

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 e008a573-a019-47a5-bc0c-7a806346ff89 · outbound

This paper cites Prandtl, Zur Berechnung des Wetterablaufs, Nachr.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Prandtl, Zur Berechnung des Wetterablaufs, Nachr

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.763215Z

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 eec6c5b6-2205-461f-b3ed-ad2da7325a24 · outbound

This paper cites Schlichting and K.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Schlichting and K

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.750992Z

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 bd098e6e-38ca-463d-afd4-e5b4ddac28af · outbound

This paper cites an unresolved cited work.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-05-16T11:57:50.754579Z

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 d4b2ac8a-5aeb-4bde-8533-7867f87ee6fa · outbound

This paper cites an unresolved cited work.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Unresolved cited work

Reference 21

Resolution: unresolved; raw_fallback, observed 2026-05-16T11:57:50.756881Z

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 5b519d58-e73f-4367-9fee-bd2fa3c45da4 · outbound

This paper cites Shang, J.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Shang, J

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.761097Z

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 1a33c8bc-42ef-4b06-bcbb-c7c10e1eb341 · outbound

This paper cites Wu and Y.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Wu and Y

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.752906Z

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 197cc9b7-5810-4c1f-a8cd-cb22aaa1f1d4 · outbound

This paper cites an unresolved cited work.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-05-16T11:57:50.746876Z

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 2e1030bc-e9dd-4baa-b0af-a8c0290d5c65 · outbound

This paper cites Zlatoˇ s, Exponential growth of the vorticity gradient for the Euler equation on the torus,Adv.

Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ Zlatoˇ s, Exponential growth of the vorticity gradient for the Euler equation on the torus,Adv

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-16T11:57:50.765442Z

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.