Typed states for the displayed outbound observations.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:38:44.567844Z
Paper Citation Record · LEDGER
Superlinear gradient growth for 2D Euler equation without boundary
As of 11 August 2026, this Paper Citation Record lists 24 of 24 outbound references and 8 inbound Pith citation observations for arXiv:2507.15739.
A citation records a reference. It does not transfer a finding from one paper to another.
Coverage vector
One-hop event checks from named stored sources.
Source: scholarly_work_events, retraction_status_cache, observed 2026-08-11T06:34:44.6726+00:00
Pith citing papers itemized under the disclosed page cap.
Source: paper_references, paper_reference_links, observed 2026-08-06T15:19:33.908089Z
A source-named dated measurement, never combined with another source.
Source: arxiv_reference, observed 2026-07-03T03:07:34.482463Z
Reference resolution
24 of 24 outbound references displayed
- verified exact1
- verified fuzzy12
- unresolved11
- parse uncertain0
- malformed identifier0
- metadata mismatch0
External citation measurements
No source-named external measurement is stored.
Outbound references
Observation 732144ec-cf20-4e89-9f82-0584bc9ee476 · outbound
This paper cites Abe and K.
Superlinear gradient growth for 2D Euler equation without boundary Abe and K
Reference 1
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:38:49.341991Z
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 f3d68143-78e7-4038-aaed-ae12157b7eb1 · outbound
This paper cites Bouchet and A.
Superlinear gradient growth for 2D Euler equation without boundary Bouchet and A
Reference 2
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:38:49.204770Z
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 5db97339-978b-4555-8fc2-fe03394014cf · outbound
This paper cites Choi and I.-J.
Superlinear gradient growth for 2D Euler equation without boundary Choi and I.-J
Reference 3
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:38:49.056315Z
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 11609ca3-bd47-4732-b6aa-c404d532d479 · outbound
This paper cites an unresolved cited work.
Superlinear gradient growth for 2D Euler equation without boundary Unresolved cited work
Reference 4
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:38:48.939332Z
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 c20e5605-ffd2-491b-ac63-a4f1d89babf7 · outbound
This paper cites an unresolved cited work.
Superlinear gradient growth for 2D Euler equation without boundary Unresolved cited work
Reference 5
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:38:48.776268Z
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 44f73934-b1c1-4bf4-b0e0-0b4a80337727 · outbound
This paper cites an unresolved cited work.
Superlinear gradient growth for 2D Euler equation without boundary Unresolved cited work
Reference 6
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:38:48.635450Z
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 7b135210-ec25-4c8d-b185-8cc057e6fe1b · outbound
This paper cites an unresolved cited work.
Superlinear gradient growth for 2D Euler equation without boundary Unresolved cited work
Reference 7
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:38:48.493724Z
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 b6ade118-3ec2-489e-bf58-d10ca86f297e · outbound
This paper cites Hölder , über die unbeschränkte Fortsetzbarkeit einer stetigen ebenen Bewegung in einer unbe- grenzten inkompressiblen Flüssigkeit, Math.
Superlinear gradient growth for 2D Euler equation without boundary Hölder , über die unbeschränkte Fortsetzbarkeit einer stetigen ebenen Bewegung in einer unbe- grenzten inkompressiblen Flüssigkeit, Math
Reference 8
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:38:48.379986Z
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 8e34e0d4-5056-4122-9984-3890c4fae57a · outbound
This paper cites Kiselev, Small scales and singularity formation in fluid dynamics, in Proceedings of the Interna- tional Congress of Mathematicians—Rio de Janeiro 2018.
Superlinear gradient growth for 2D Euler equation without boundary Kiselev, Small scales and singularity formation in fluid dynamics, in Proceedings of the Interna- tional Congress of Mathematicians—Rio de Janeiro 2018
Reference 9
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:38:48.247620Z
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 eae126c9-841c-4abf-a585-780a5315c849 · outbound
This paper cites Kiselev and V.
Superlinear gradient growth for 2D Euler equation without boundary Kiselev and V
Reference 10
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:38:48.053383Z
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 c2a39507-8038-4108-b2be-9bbdafdc243e · outbound
This paper cites an unresolved cited work.
Superlinear gradient growth for 2D Euler equation without boundary Unresolved cited work
Reference 11
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:38:47.845587Z
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 6267625d-f6f6-4a08-90e8-0a6394f14d8e · outbound
This paper cites an unresolved cited work.
Superlinear gradient growth for 2D Euler equation without boundary Unresolved cited work
Reference 12
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:38:47.654864Z
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 7b3dde1c-6042-4f3b-9206-b2b705d2e68c · outbound
This paper cites Marchioro and M.
Superlinear gradient growth for 2D Euler equation without boundary Marchioro and M
Reference 13
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:38:47.412636Z
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 a83c2386-f363-4a70-b4d3-00a888e2d50f · outbound
This paper cites an unresolved cited work.
Superlinear gradient growth for 2D Euler equation without boundary Unresolved cited work
Reference 14
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:38:47.203869Z
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 0b3c5ef7-26b5-43f3-8969-0d3ce0ae3326 · outbound
This paper cites Tang, Nonlinear stability of vortex patches, Trans.
Superlinear gradient growth for 2D Euler equation without boundary Tang, Nonlinear stability of vortex patches, Trans
Reference 15
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:38:47.019771Z
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 5cb65a76-a743-4d8c-8c4e-5598a1831c4c · outbound
This paper cites an unresolved cited work.
Superlinear gradient growth for 2D Euler equation without boundary Unresolved cited work
Reference 16
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:38:46.849519Z
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 b8e69112-06dd-42f8-80e6-01f2eee38c6f · outbound
This paper cites an unresolved cited work.
Superlinear gradient growth for 2D Euler equation without boundary Unresolved cited work
Reference 17
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:38:46.627879Z
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 dd577de9-89e3-4f8c-bcd4-cf76703690f4 · outbound
This paper cites W ang and B.
Superlinear gradient growth for 2D Euler equation without boundary W ang and B
Reference 18
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:38:46.421820Z
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 f4943fdc-3ff2-482c-8c60-8df7aea60168 · outbound
This paper cites Wolibner, Un theorème sur l’existence du mouvement plan d’un fluide parfait, homogène, in- compressible, pendant un temps infiniment long, Math.
Superlinear gradient growth for 2D Euler equation without boundary Wolibner, Un theorème sur l’existence du mouvement plan d’un fluide parfait, homogène, in- compressible, pendant un temps infiniment long, Math
Reference 19
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:38:46.201417Z
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 4d6e4cf0-18b0-4665-9c38-169fb21d2dbd · outbound
This paper cites Xu , Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow, J.
Superlinear gradient growth for 2D Euler equation without boundary Xu , Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow, J
Reference 20
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:38:45.951436Z
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 951a0a66-1f64-4d40-9b57-620295374d30 · outbound
This paper cites an unresolved cited work.
Superlinear gradient growth for 2D Euler equation without boundary Unresolved cited work
Reference 21
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:38:45.703558Z
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 1bb6890c-c419-4bfe-860c-97eba67cee88 · outbound
This paper cites an unresolved cited work.
Superlinear gradient growth for 2D Euler equation without boundary Unresolved cited work
Reference 22
- Resolution
- unresolved
- raw_fallback, observed 2026-08-06T15:38:45.527003Z
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 668b386a-2259-408f-9c87-94c2ae844271 · outbound
This paper cites Zlatoš, Exponential growth of the vorticity gradient for the Euler equation on the torus, Adv.
Superlinear gradient growth for 2D Euler equation without boundary Zlatoš, Exponential growth of the vorticity gradient for the Euler equation on the torus, Adv
Reference 23
- Resolution
- verified fuzzy
- raw_fallback, observed 2026-08-06T15:38:45.375228Z
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 44a76a63-bb04-42cf-8157-4e2626618a69 · outbound
This paper cites Department of Mathematical Sciences and RIM, Seoul National University, 1 Gw anak-ro, Gw anak-gu, Seoul 08826, Republic of Korea.
Superlinear gradient growth for 2D Euler equation without boundary Department of Mathematical Sciences and RIM, Seoul National University, 1 Gw anak-ro, Gw anak-gu, Seoul 08826, Republic of Korea
Reference 24
- Resolution
- verified exact
- raw_fallback, observed 2026-08-06T15:38:45.047491Z
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
Observation eaed1804-b56f-4fb0-8493-008e786b75d6 · inbound
Stability for multiple Lamb dipoles cites this paper.
Stability for multiple Lamb dipoles Superlinear gradient growth for 2D Euler equation without boundary
Reference 47
- Resolution
- unresolved
- no resolver link, observed 2026-08-06T15:19:33.908089Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 6d6c2dd5-a26e-4d9b-bc5e-e4fb84adfbb9 · inbound
Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus cites this paper.
Orbital Stability of First Laplacian Eigenstates for the Incompressible Euler Equation on a Flat 2-Torus Superlinear gradient growth for 2D Euler equation without boundary
Reference 12
- Resolution
- unresolved
- no resolver link, observed 2026-08-05T13:28:32.426057Z
Source-reported events for the cited work
Unavailable: canonical work link unavailable.
Observation 618c23ac-139a-4558-bb78-c1c98019c38c · inbound
Stability and Decay for the 2D Anisotropic Navier-Stokes Equations with Fractional Horizontal Dissipation on $\mathbb{R}^2$ cites this paper.
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 76de3128-7297-4697-b163-3b9ba392b061 · inbound
Growth of vorticity gradient for the Euler equation on the sphere cites this paper.
Growth of vorticity gradient for the Euler equation on the sphere Superlinear gradient growth for 2D Euler equation without boundary
Reference 17
- Resolution
- verified exact
- arxiv_id, observed 2026-05-11T13:06:05.052211Z
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 d3c2501e-622c-4ce7-a45d-d998355c221d · inbound
Small scale creation in 2D gravity-capillary water waves with vorticity cites this paper.
Small scale creation in 2D gravity-capillary water waves with vorticity Superlinear gradient growth for 2D Euler equation without boundary
Reference 16
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T13:11:03.609339Z
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 241d8662-6686-4627-a0fb-3318768e3caf · inbound
On the stability of Lamb-Chaplygin dipole for the 2D Euler equation cites this paper.
On the stability of Lamb-Chaplygin dipole for the 2D Euler equation Superlinear gradient growth for 2D Euler equation without boundary
Reference 36
- Resolution
- metadata mismatch
- arxiv_id, observed 2026-05-11T16:16:08.950351Z
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 58a44796-ef1d-4df9-8005-51b369442096 · inbound
Remarks on Linear Growth of Vorticity Gradients and Support Diameters for 2D Euler Flow in Half-Plane cites this paper.
Remarks on Linear Growth of Vorticity Gradients and Support Diameters for 2D Euler Flow in Half-Plane Superlinear gradient growth for 2D Euler equation without boundary
Reference 13
- Resolution
- verified exact
- arxiv_id, observed 2026-07-01T20:16:11.087879Z
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 4d3fe196-e70a-40a0-a5e1-89b737a7becd · inbound
Linear Stability of the Lamb-Chaplygin Dipole cites this paper.
Linear Stability of the Lamb-Chaplygin Dipole Superlinear gradient growth for 2D Euler equation without boundary
Reference 14
- Resolution
- verified exact
- arxiv_id, observed 2026-07-03T03:07:34.484104Z
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.