Paper Citation Record · LEDGER

Small scale creation in 2D gravity-capillary water waves with vorticity

As of 21 August 2026, this Paper Citation Record lists 34 of 34 outbound references and 0 inbound Pith citation observations for arXiv:2604.19380.

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pith.paper-citation-record.v1
2604.19380 v1

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measured 34 of 34 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-05-10T02:16:51.646691Z

measured 34 of 34 standing notices

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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.

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measured 0 of 1 external citation measurements

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Source: cited_works

Reference resolution

34 of 34 outbound references displayed

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External citation measurements

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Outbound references

Observation 957329e3-4fb5-4dc8-922f-9d3d7f2d2901 · outbound

This paper cites On the water-wave equations with surface tension.Duke Math.

Small scale creation in 2D gravity-capillary water waves with vorticity On the water-wave equations with surface tension.Duke Math

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.250202Z

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 148a5630-da8a-411e-8272-25be7c4313c6 · outbound

This paper cites On the Cauchy problem for gravity water waves.Invent.

Small scale creation in 2D gravity-capillary water waves with vorticity On the Cauchy problem for gravity water waves.Invent

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.314226Z

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 6887085a-ff7a-4ec4-ac23-b9ed305df268 · outbound

This paper cites Global solutions and asymptotic behavior for two- dimensional gravity water waves.Ann.

Small scale creation in 2D gravity-capillary water waves with vorticity Global solutions and asymptotic behavior for two- dimensional gravity water waves.Ann

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.296975Z

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 4035022a-defb-4c80-bec1-8efece2118e5 · outbound

This paper cites Sulla propriet` a isoperimetrica dell’ipersfera, nella classe degli insiemi aventi frontiera orientata di misura finita.Atti Accad.

Small scale creation in 2D gravity-capillary water waves with vorticity Sulla propriet` a isoperimetrica dell’ipersfera, nella classe degli insiemi aventi frontiera orientata di misura finita.Atti Accad

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.264581Z

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 8ff9b0df-6a23-41a0-9c28-0a7b71961adb · outbound

This paper cites Well-posedness of the free-surface incompressible Euler equa- tions with or without surface tension.J.

Small scale creation in 2D gravity-capillary water waves with vorticity Well-posedness of the free-surface incompressible Euler equa- tions with or without surface tension.J

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.330859Z

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 78e05af3-07c3-4431-9c38-4ee8868871e4 · outbound

This paper cites Ionescu, Benoˆ ıt Pausader, Fabio Pusateri.

Small scale creation in 2D gravity-capillary water waves with vorticity Ionescu, Benoˆ ıt Pausader, Fabio Pusateri

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.323074Z

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 79a5b98f-e8ee-4335-bbc1-018947cd1c75 · outbound

This paper cites an unresolved cited work.

Small scale creation in 2D gravity-capillary water waves with vorticity Unresolved cited work

Reference 7

Resolution: unresolved; raw_fallback, observed 2026-05-22T23:17:15.346943Z

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 a4fbc9cb-c0ac-43e5-b54f-5d22c5ac10a5 · outbound

This paper cites Global solutions for the gravity water waves equation in dimension 3.Ann.

Small scale creation in 2D gravity-capillary water waves with vorticity Global solutions for the gravity water waves equation in dimension 3.Ann

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.260123Z

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 aeaaf919-4520-4c93-b9c7-356bbe179d02 · outbound

This paper cites Global existence for capillary water waves.

Small scale creation in 2D gravity-capillary water waves with vorticity Global existence for capillary water waves

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.334831Z

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 8d9b01be-111e-442f-ba18-2579438351c3 · outbound

This paper cites Small scale creation for 2D free boundary Euler equations with surface tension.Ann.

Small scale creation in 2D gravity-capillary water waves with vorticity Small scale creation for 2D free boundary Euler equations with surface tension.Ann

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.245419Z

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 2a5753c0-5a2a-4edd-a05d-293b1b59e689 · outbound

This paper cites Two-dimensional water waves in holomorphic coordinates II: global solutions.Bull.

Small scale creation in 2D gravity-capillary water waves with vorticity Two-dimensional water waves in holomorphic coordinates II: global solutions.Bull

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.255468Z

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 49aa5d88-f439-44c0-b963-86ba58e0b7a2 · outbound

This paper cites The lifespan of small data solutions in two-dimensional capillary water waves.Arch.

Small scale creation in 2D gravity-capillary water waves with vorticity The lifespan of small data solutions in two-dimensional capillary water waves.Arch

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.288473Z

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 78c99d8d-dadd-4f69-819e-86b3d48fb7e6 · outbound

This paper cites Ionescu, Fabio Pusateri.

Small scale creation in 2D gravity-capillary water waves with vorticity Ionescu, Fabio Pusateri

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.280924Z

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 a94626ad-5ed9-4c58-92b3-132f0ef90400 · outbound

This paper cites Ionescu, Fabio Pusateri.

Small scale creation in 2D gravity-capillary water waves with vorticity Ionescu, Fabio Pusateri

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.216119Z

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 e0c139fe-8a8d-4bd4-9448-c9ad046d9ad1 · outbound

This paper cites Small scale creation for solutions of the incompressible two-dimensional Euler equation.Ann.

Small scale creation in 2D gravity-capillary water waves with vorticity Small scale creation for solutions of the incompressible two-dimensional Euler equation.Ann

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.273188Z

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 d3c2501e-622c-4ce7-a45d-d998355c221d · outbound

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

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 2026-08-21T06:32:19.484+00:00.

Observation a10b4c1a-e3c6-4f23-b889-24000e982087 · outbound

This paper cites Well-posedness of the water-waves equations.J.

Small scale creation in 2D gravity-capillary water waves with vorticity Well-posedness of the water-waves equations.J

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.210130Z

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 e471d565-332b-4a80-a41a-297f2a611bce · outbound

This paper cites Well-posedness for the motion of an incompressible liquid with free surface boundary.Ann.

Small scale creation in 2D gravity-capillary water waves with vorticity Well-posedness for the motion of an incompressible liquid with free surface boundary.Ann

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.236118Z

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 6ed090a2-3292-4b17-b4c4-3df9a2a08672 · outbound

This paper cites Well-posedness of the water-wave problem with surface tension.J.

Small scale creation in 2D gravity-capillary water waves with vorticity Well-posedness of the water-wave problem with surface tension.J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.305244Z

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 184b492a-3f00-493b-8f6a-3ca432808ccd · outbound

This paper cites Geometry and a priori estimates for free boundary problems of the Euler’s equation.Commun.

Small scale creation in 2D gravity-capillary water waves with vorticity Geometry and a priori estimates for free boundary problems of the Euler’s equation.Commun

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.277087Z

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 4c1b1b88-316e-4e60-9583-4f90d4d5fe3b · outbound

This paper cites A priori estimates for fluid interface problems.Commun.

Small scale creation in 2D gravity-capillary water waves with vorticity A priori estimates for fluid interface problems.Commun

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.268808Z

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 1b347fde-f4b1-46c7-bb95-9db689ba341c · outbound

This paper cites Local well-posedness for fluid interface problems.Arch.

Small scale creation in 2D gravity-capillary water waves with vorticity Local well-posedness for fluid interface problems.Arch

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.284771Z

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 ac348dbf-4223-4a96-b37a-ffaf037dc059 · outbound

This paper cites Long time behavior of 2D water waves with point vortices.Commun.

Small scale creation in 2D gravity-capillary water waves with vorticity Long time behavior of 2D water waves with point vortices.Commun

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.301075Z

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 dfc4ec64-a94c-43ae-8d78-187dcfbcff1e · outbound

This paper cites Global infinite energy solutions for the 2D gravity water waves system.

Small scale creation in 2D gravity-capillary water waves with vorticity Global infinite energy solutions for the 2D gravity water waves system

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.318593Z

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 67bba7b3-dad2-494e-b898-ae565c3aa08b · outbound

This paper cites Global regularity for the 3D finite depth capillary water waves.Ann.

Small scale creation in 2D gravity-capillary water waves with vorticity Global regularity for the 3D finite depth capillary water waves.Ann

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.351306Z

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 5ffceb53-9862-49c5-827a-a1737be3671f · outbound

This paper cites Well-posedness in Sobolev spaces of the full water wave problem in 2-D.Invent.

Small scale creation in 2D gravity-capillary water waves with vorticity Well-posedness in Sobolev spaces of the full water wave problem in 2-D.Invent

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.240584Z

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 95474c77-1026-48d0-b92a-37724f62c813 · outbound

This paper cites Well-posedness in Sobolev spaces of the full water wave problem in 3-D.J.

Small scale creation in 2D gravity-capillary water waves with vorticity Well-posedness in Sobolev spaces of the full water wave problem in 3-D.J

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.326915Z

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 91ced1e3-7160-4588-ba89-90c4b8a12b6d · outbound

This paper cites Almost global wellposedness of the 2-D full water wave problem.Invent.

Small scale creation in 2D gravity-capillary water waves with vorticity Almost global wellposedness of the 2-D full water wave problem.Invent

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.343142Z

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 9ff26c2d-b689-4fb4-9bf1-adc37d6969a8 · outbound

This paper cites Global wellposedness of the 3-D full water wave problem.Invent.

Small scale creation in 2D gravity-capillary water waves with vorticity Global wellposedness of the 3-D full water wave problem.Invent

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.226330Z

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 3261490b-2d7b-41e1-830a-f656f156f7f3 · outbound

This paper cites Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow.J.

Small scale creation in 2D gravity-capillary water waves with vorticity Fast growth of the vorticity gradient in symmetric smooth domains for 2D incompressible ideal flow.J

Reference 30

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.231573Z

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 d2c390c4-bd93-46ca-92cc-121677b57c20 · outbound

This paper cites On the free boundary problem of three-dimensional incompressible Euler equations.Commun.

Small scale creation in 2D gravity-capillary water waves with vorticity On the free boundary problem of three-dimensional incompressible Euler equations.Commun

Reference 31

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.292401Z

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 1a7b1b54-e820-4d4e-8349-e00a99928212 · outbound

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

Small scale creation in 2D gravity-capillary water waves with vorticity Exponential growth of the vorticity gradient for the Euler equation on the torus.Adv

Reference 32

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.309477Z

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 d918dd27-aee9-4539-ad99-4bf60adc9db7 · outbound

This paper cites Maximal double-exponential growth for the Euler equation on the half-plane.

Small scale creation in 2D gravity-capillary water waves with vorticity Maximal double-exponential growth for the Euler equation on the half-plane

Reference 33

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.220820Z

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 fbeb9c00-1b82-45e1-b156-d2365163cab6 · outbound

This paper cites Long-term regularity of 3D gravity water waves.Commun.

Small scale creation in 2D gravity-capillary water waves with vorticity Long-term regularity of 3D gravity water waves.Commun

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-05-22T23:17:15.338885Z

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

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