Paper Citation Record · LEDGER

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$

As of 21 August 2026, this Paper Citation Record lists 37 of 37 outbound references and 0 inbound Pith citation observations for arXiv:2607.19071.

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

pith.paper-citation-record.v1
2607.19071 v1

Coverage vector

measured 37 of 37 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-15T15:41:36.754153Z

measured 37 of 37 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+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

37 of 37 outbound references displayed

verified exact3
verified fuzzy21
unresolved13
parse uncertain0
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External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 48c8070f-6947-421d-a20e-5206ccb9dbd4 · outbound

This paper cites Adhikari, O.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Adhikari, O

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.652902Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 1d0aa5a9-20c1-475e-bbee-e8d5bd1953cc · outbound

This paper cites Bahouri, J.-Y.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Bahouri, J.-Y

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.637721Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation be7b7cfb-cfe8-4e71-9676-c43fb75ee870 · outbound

This paper cites Ben Said, U.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Ben Said, U

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.621858Z

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No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 74f07b0e-6583-456d-ac06-487680686db6 · outbound

This paper cites Brandolese and M.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Brandolese and M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.603521Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b1989cf3-b189-4a62-82a0-5e81cf2be678 · outbound

This paper cites Castro, D.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Castro, D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.587607Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fa975e19-321f-4e86-b6e7-776479b5f5e2 · outbound

This paper cites Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Stable nearly self-similar blowup of the 2D Boussinesq and 3D Euler equations with smooth data I: Analysis

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-15T15:41:36.568767Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 210bd70f-6776-4340-80e8-ad68c572d3d1 · outbound

This paper cites Chen and T.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Chen and T

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.571360Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 6ae8d23c-271f-494b-a28f-0bf3772c5c7d · outbound

This paper cites Choi and I.-J.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Choi and I.-J

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.554133Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0900bd7a-82cf-4373-abc5-244d7cc1b02a · outbound

This paper cites C´ ordoba, L.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ C´ ordoba, L

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.536307Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0fabd683-425d-4e73-a6b2-4b77102ef032 · outbound

This paper cites Doering, J.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Doering, J

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.518069Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c36f0d6c-cda6-4386-954c-ce13d72111be · outbound

This paper cites an unresolved cited work.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Unresolved cited work

Reference 11

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:41:37.501342Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 786e77c0-4629-4e94-957f-053136889cfa · outbound

This paper cites Dong and Y.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Dong and Y

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.485475Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3686e4ed-78a0-4667-b9f8-7f2644598e0c · outbound

This paper cites Dong and Y.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Dong and Y

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.469028Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 40afaf84-56e5-4cfc-8df1-dd7e10875e2e · outbound

This paper cites an unresolved cited work.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Unresolved cited work

Reference 14

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:41:37.453760Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation e4fdb57c-65ef-482f-8228-82ab4c2be591 · outbound

This paper cites an unresolved cited work.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Unresolved cited work

Reference 15

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:41:37.437582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fce7ca42-5a9d-424a-b89d-5b0a7cc40f34 · outbound

This paper cites Fujii and Y.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Fujii and Y

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.421289Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 579e4805-3c5f-4b1b-a561-caa87847674d · outbound

This paper cites an unresolved cited work.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Unresolved cited work

Reference 17

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:41:37.404076Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 67b8e97c-3728-44e0-b806-b040b98615f2 · outbound

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

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Superlinear gradient growth for 2D Euler equation without boundary

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-15T15:41:36.640419Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 671cc4b2-41af-4a29-96ca-22788243d49c · outbound

This paper cites Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Global well-posedness and stability of the 2D Boussinesq equations with partial dissipation near a hydrostatic equilibrium

Reference 19

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:41:36.859862Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 066a1ebb-435f-4877-aeec-d6a9fefd4a20 · outbound

This paper cites Kim and J.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Kim and J

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.386374Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 28119a7b-40eb-462f-804f-52a5ab046f8c · outbound

This paper cites Kiselev, J.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Kiselev, J

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.367362Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation cb7b6755-802e-49fe-9eea-5bdb99a66b3a · outbound

This paper cites Kiselev and V.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Kiselev and V

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.350359Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 486ea0e0-3fee-40e7-b918-d682375b2eb6 · outbound

This paper cites Kukavica and W.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Kukavica and W

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.329535Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8586620c-bc17-423e-8974-4ea572b3d1ec · outbound

This paper cites an unresolved cited work.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Unresolved cited work

Reference 24

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:41:37.312310Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 56128b5e-f79c-4b04-96f0-3c9b71db4d9a · outbound

This paper cites an unresolved cited work.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Unresolved cited work

Reference 25

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:41:37.287741Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 0c86b96f-391d-4e50-a814-58d729bac014 · outbound

This paper cites Li, On Kato–Ponce and fractional Leibniz,Rev.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Li, On Kato–Ponce and fractional Leibniz,Rev

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.123474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation ff9bba82-2507-4fe2-8a09-bf5edb065ce2 · outbound

This paper cites an unresolved cited work.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Unresolved cited work

Reference 27

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:41:37.101181Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 20595170-fea7-4e3f-a6e2-78b8cd9489f1 · outbound

This paper cites an unresolved cited work.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Unresolved cited work

Reference 28

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:41:37.081474Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 02ff9a71-137d-4f00-9f91-c01e8b9b4162 · outbound

This paper cites an unresolved cited work.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Unresolved cited work

Reference 29

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:41:37.062366Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 09262146-ea97-4da2-8c0c-f71d4df364bc · outbound

This paper cites Shang and L.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Shang and L

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:37.041065Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation daf6df49-1780-45e7-b198-e6a62d361b49 · outbound

This paper cites Self-similar blow-up solutions of $d$-dimensional incompressible Euler equations with $C^{1,\left(1-2/d\right)-}$ velocity.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Self-similar blow-up solutions of $d$-dimensional incompressible Euler equations with $C^{1,\left(1-2/d\right)-}$ velocity

Reference 31

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:41:36.833467Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation c8b4f85d-ce81-4f75-bb7d-e279cc4e4af7 · outbound

This paper cites an unresolved cited work.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Unresolved cited work

Reference 32

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:41:37.015820Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 48f2f80a-7ff7-401a-90aa-c2214febe966 · outbound

This paper cites an unresolved cited work.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Unresolved cited work

Reference 33

Resolution: unresolved; raw_fallback, observed 2026-08-15T15:41:36.993217Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 3ef43545-cc3f-4680-aaa1-383992e4711e · outbound

This paper cites Wan, Global well-posedness for the 2D Boussinesq equations with a velocity damp- ing term,Discrete Contin.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Wan, Global well-posedness for the 2D Boussinesq equations with a velocity damp- ing term,Discrete Contin

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:36.969858Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 045af8fd-f4e5-4e54-989e-1e6c9ec00e62 · outbound

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

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

Reference 35

Resolution: verified exact; local_arxiv, observed 2026-08-15T15:41:36.806271Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 692e57a6-4543-4e0d-bb87-e2501aa336f9 · outbound

This paper cites Wu and Q.

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Wu and Q

Reference 36

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:36.948466Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fc899f54-007d-4b3f-ad23-9b18c8e4f053 · outbound

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

Stability for the Boussinesq Equations with Horizontal Dissipation near the Hydrostatic Balance on $\mathbb{R}^2$ Zlatoˇ s, Exponential growth of the vorticity gradient for the Euler equation on the torus,Adv

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-15T15:41:36.924944Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

No inbound Pith citation observations are available.