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Paper Citation Record · LEDGER

Local existence of strong solutions to the capillary wave kinetic equation

As of 9 August 2026, this Paper Citation Record lists 23 of 23 outbound references and 0 inbound Pith citation observations for arXiv:2607.04263.

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pith.paper-citation-record.v1
2607.04263 v1

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measured 23 of 23 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-07-11T20:32:44.676884Z

measured 23 of 23 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-09T06:31:02.800959+00:00

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23 of 23 outbound references displayed

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Outbound references

Observation 2b1a233c-8afa-4228-8534-54986ada6392 · outbound

This paper cites The Cauchy problem and BEC stability for the quantum Boltzmann-Condensation system for bosons at very low temperature.

Local existence of strong solutions to the capillary wave kinetic equation The Cauchy problem and BEC stability for the quantum Boltzmann-Condensation system for bosons at very low temperature

Reference 1

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:1ec7ff3a56765d840f07404fdfd89b6e66bf53f55d84dc01edfec60af8afa2da

Observation 0e666c80-2fe2-4935-8e17-686a76764203 · outbound

This paper cites On the derivation of the wave kinetic equation for nls.

Local existence of strong solutions to the capillary wave kinetic equation On the derivation of the wave kinetic equation for nls

Reference 2

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:616786aa9421c2395d792d4e3db7faf4a45be22c31196685b858d5fca717981e

Observation e917bf02-cdcc-427d-84ae-c30873fa60a9 · outbound

This paper cites Full derivation of the wave kinetic equation.

Local existence of strong solutions to the capillary wave kinetic equation Full derivation of the wave kinetic equation

Reference 3

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:33893d94d4947f65caddcd57bded0ef3f05ed46576a52d3f93e516230df67338

Observation 16c5bfcd-86c1-4388-a022-bf9404b46896 · outbound

This paper cites Long time justification of wave turbulence theory.

Local existence of strong solutions to the capillary wave kinetic equation Long time justification of wave turbulence theory

Reference 4

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:cdf037862cd42bf9cbff143a41fd7c99a2e9f2bc1210f65213649ef7b2e7b59d

Observation 0ebe8c42-791c-4d97-9cdf-b79a061a8605 · outbound

This paper cites Convergence to equilibrium of a linearized quantum boltzmann equation for bosons at very low temperature.

Local existence of strong solutions to the capillary wave kinetic equation Convergence to equilibrium of a linearized quantum boltzmann equation for bosons at very low temperature

Reference 5

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:6d147abe64ff295e086768fa53e38099cb9c0c44e91ee92fcd7d65b95ebc71cf

Observation 0903669b-62d6-40fb-a04d-d026840f19fd · outbound

This paper cites Partial differential equations , volume 19.

Local existence of strong solutions to the capillary wave kinetic equation Partial differential equations , volume 19

Reference 6

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:e5caa49a39ba851c80ec412496c1018bd0800a60f05bb7a78723e3497c0d9e79

Observation 0f4d2078-5b29-4fc5-9b7f-e30424f02dbf · outbound

This paper cites On the non-linear energy transfer in a gravity-wave spectrum part 1.

Local existence of strong solutions to the capillary wave kinetic equation On the non-linear energy transfer in a gravity-wave spectrum part 1

Reference 7

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:f86e067fa63562f0a61daa2719ee8b880dff1951cf091d6f0896821ab449038a

Observation df4dd4af-5ad0-479e-999c-07a04739728d · outbound

This paper cites Wave turbulence in quantum fluids.

Local existence of strong solutions to the capillary wave kinetic equation Wave turbulence in quantum fluids

Reference 8

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:d478e5c975218b8e3eaf7ff52487131aff20484aeca7b02141f7292069d60f75

Observation 9479bd65-dfe5-459b-adde-3d13b745b10c · outbound

This paper cites Wave turbulence , volume 825.

Local existence of strong solutions to the capillary wave kinetic equation Wave turbulence , volume 825

Reference 9

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:660b02114ea49498b1d9cab7ac3f3fa3950b37578833eb0ce09b3d6e6dd218bc

Observation 236c0bea-f0a0-48b9-8390-c28c175c0618 · outbound

This paper cites On the kinetic equation in zakharov's wave turbulence theory for capillary waves.

Local existence of strong solutions to the capillary wave kinetic equation On the kinetic equation in zakharov's wave turbulence theory for capillary waves

Reference 10

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:8a55239bec4aa1c88574e719540a5082d0ee00f1866057007817a04374b180a5

Observation 1ddfcaa7-7639-4486-b204-333142d0f3b2 · outbound

This paper cites Uniform in time lower bound for solutions to a quantum boltzmann equation of bosons.

Local existence of strong solutions to the capillary wave kinetic equation Uniform in time lower bound for solutions to a quantum boltzmann equation of bosons

Reference 11

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:f28b99aa5aa76460965527731d6f1c45d3edd07826eaa88760d9ebc120a52cef

Observation 065a019a-064f-4c84-bddd-27fb2afb5138 · outbound

This paper cites Understanding of weak turbulence of capillary waves.

Local existence of strong solutions to the capillary wave kinetic equation Understanding of weak turbulence of capillary waves

Reference 12

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Observation 4e52e0af-86ba-433d-a63d-96adba3acf6a · outbound

This paper cites Semigroups of linear operators and applications to partial differential equations.

Local existence of strong solutions to the capillary wave kinetic equation Semigroups of linear operators and applications to partial differential equations

Reference 13

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:edd47809e99bad061715e4d63a849986972650ef4ec014d38e44fd8a71ab3b16

Observation 4334ec66-97b4-4e05-94f5-463936d1c0af · outbound

This paper cites Zur kinetischen theorie der w \"a rmeleitung in kristallen.

Local existence of strong solutions to the capillary wave kinetic equation Zur kinetischen theorie der w \"a rmeleitung in kristallen

Reference 14

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:b80a4b7e568586122aeb713301b40e1ea90789f10c5b76bb64e665d298367154

Observation 4a8459fe-f6b4-4f6c-8df0-5745663b3f94 · outbound

This paper cites Quantum theory of solids.

Local existence of strong solutions to the capillary wave kinetic equation Quantum theory of solids

Reference 15

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Observation 3040b48e-6c1b-4091-9012-c975b498a762 · outbound

This paper cites Local-in-time existence of l^ 1 solutions to the gravity water wave kinetic equation.

Local existence of strong solutions to the capillary wave kinetic equation Local-in-time existence of l^ 1 solutions to the gravity water wave kinetic equation

Reference 16

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:0cdc873f26db648e5ff7436600e7d8beae020c2a51ed2b9e1e5a6a1c320b3cf5

Observation 36ec8d9a-fbca-48f0-919e-9cc1b7f46ca7 · outbound

This paper cites Direct numerical investigation of turbulence of capillary waves.

Local existence of strong solutions to the capillary wave kinetic equation Direct numerical investigation of turbulence of capillary waves

Reference 17

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:d2e7e2fe2a8c9c3eb8fd0a680a4dd944b7c04c02ef6d0aac7107681715c7272e

Observation 1978f43c-a98d-40b9-b773-387326d10e05 · outbound

This paper cites Turbulence of capillary wavestheory and numerical simulation.

Local existence of strong solutions to the capillary wave kinetic equation Turbulence of capillary wavestheory and numerical simulation

Reference 18

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:fee62625b345d40cb2ed8400f01e65e44c9ebafcfc93bea238644bb1be770754

Observation 113073d6-0a7b-4eb0-b43e-69098af43ebb · outbound

This paper cites Collapse of langmuir waves.

Local existence of strong solutions to the capillary wave kinetic equation Collapse of langmuir waves

Reference 19

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:325fee678426613017c3d1bfe29bf846681314d8256b5384d9e090b5b50de567

Observation 979c9245-00aa-48bc-bdd8-b7df802cb7e1 · outbound

This paper cites Weak turbulence in media with a decay spectrum.

Local existence of strong solutions to the capillary wave kinetic equation Weak turbulence in media with a decay spectrum

Reference 20

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:40099528be16321d3f2bf28ff8ffbdbdd468f7f196bdb7b0559de51f055caeab

Observation 03905f3e-5e0b-470d-a6b2-34485309c3f3 · outbound

This paper cites Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid.

Local existence of strong solutions to the capillary wave kinetic equation Statistical theory of gravity and capillary waves on the surface of a finite-depth fluid

Reference 21

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:0115e927e6089b89b23e24dc1d430a8fb7b82afe04c00896ecc516c6202781a8

Observation 8e5f9cae-4b65-4e72-ab37-495db7974ecf · outbound

This paper cites Weak turbulence of capillary waves.

Local existence of strong solutions to the capillary wave kinetic equation Weak turbulence of capillary waves

Reference 22

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source=arxiv_source observed=2026-07-11T20:32:44.676884Z digest=sha256:e85dac7523992dc9153184193685c16482645abe216615209cfd6138693827e4

Observation 36e0962e-e163-483c-8474-243721270ae3 · outbound

This paper cites Kolmogorov spectra of turbulence I: Wave turbulence.

Local existence of strong solutions to the capillary wave kinetic equation Kolmogorov spectra of turbulence I: Wave turbulence

Reference 23

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