Paper Citation Record · LEDGER

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations

As of 21 August 2026, this Paper Citation Record lists 65 of 65 outbound references and 1 inbound Pith citation observation for arXiv:2605.10788.

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

pith.paper-citation-record.v1
2605.10788 v2

Coverage vector

measured 65 of 65 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-02T14:27:35.887927Z

measured 66 of 66 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-20T06:33:59.587034+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-07-10T20:18:35.375912Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-07-10T20:27:36.697455Z

Reference resolution

65 of 65 outbound references displayed

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Outbound references

Observation 651bcb31-f7ec-442d-aa88-e155f0af6b32 · outbound

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

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations The Cauchy problem and BEC stability for the quantum Boltzmann-Condensation system for bosons at very low temperature

Reference 1

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Observation 3d2e2641-fb39-4acd-bc99-7321047684b4 · outbound

This paper cites Ampatzoglou and T.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Ampatzoglou and T

Reference 2

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Observation b022d139-7aa0-4fac-8dc8-3ca403039b02 · outbound

This paper cites On the optimal local well-posedness of the wave kinetic equation in $L^r$.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations On the optimal local well-posedness of the wave kinetic equation in $L^r$

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-02T14:27:29.572048Z

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Observation 8f950088-ff9e-48ea-9b7f-7da152037052 · outbound

This paper cites Ampatzoglou, J.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Ampatzoglou, J

Reference 4

Resolution: unresolved; no resolver link, observed 2026-08-02T14:27:29.640861Z

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Observation 5b0886bb-d63b-49bf-9a2b-68944645781b · outbound

This paper cites an unresolved cited work.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 5

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Observation 7fe0a656-5403-434f-b124-a1a6cdbb6980 · outbound

This paper cites A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations A New Approach to Direct Discretization of Wave Kinetic Equations with Application to a Nonlinear Schrodinger System in 2D

Reference 6

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Observation 8bd04a56-4c57-43b8-be25-d48cc0f0d005 · outbound

This paper cites an unresolved cited work.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-02T14:27:29.891575Z

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Observation 9e7225e2-108d-4baa-ad56-ade887dacc81 · outbound

This paper cites an unresolved cited work.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 8

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Observation 741bdd7e-2200-40a0-9f33-9af9c89aca46 · outbound

This paper cites Chen and M.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Chen and M

Reference 9

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Observation 57a7ee0e-16fd-4a91-b926-af3201facbe4 · outbound

This paper cites Collot, H.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Collot, H

Reference 10

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Observation db797c2d-39ba-4842-b688-f0f364c0f793 · outbound

This paper cites Connaughton.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Connaughton

Reference 11

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Observation 7a5e00b6-ee92-4bd4-8350-de737de034c0 · outbound

This paper cites Connaughton and A.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Connaughton and A

Reference 12

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Observation 51dcdd18-960d-46d9-a7a7-9aa1ee235807 · outbound

This paper cites Cort´ es and M.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Cort´ es and M

Reference 13

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Observation ac0ad84b-0ac3-4a79-bfa4-28164dbcfaf5 · outbound

This paper cites Craciun and M.-B.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Craciun and M.-B

Reference 14

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Observation 3d80e116-9d19-4323-8beb-0c7edca28b56 · outbound

This paper cites Dacorogna.Direct Methods in the Calculus of Variations, volume 78 ofApplied Mathematical Sciences.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Dacorogna.Direct Methods in the Calculus of Variations, volume 78 ofApplied Mathematical Sciences

Reference 15

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Observation fc7be8cb-a1c2-42e0-9f40-44b1977b6695 · outbound

This paper cites Das and M-B.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Das and M-B

Reference 16

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Observation ccf4da39-0cf6-437e-b7e6-750490af21be · outbound

This paper cites De La Vall´ ee Poussin.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations De La Vall´ ee Poussin

Reference 17

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Observation 941a55cf-5cbb-4332-98bb-fe2f5136a81d · outbound

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

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations On the derivation of the wave kinetic equation for NLS

Reference 18

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Observation f11f2856-3437-46b3-a6a5-74f31479d9f3 · outbound

This paper cites Propagation of chaos and the higher order statistics in the wave kinetic theory.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Propagation of chaos and the higher order statistics in the wave kinetic theory

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-02T14:27:30.993207Z

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Observation 5d694967-d1b2-4b92-9366-5c0bdadaaa31 · outbound

This paper cites Full derivation of the wave kinetic equation.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Full derivation of the wave kinetic equation

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-02T14:27:31.116629Z

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Observation d99f56a2-a0f8-40f7-af21-92a28b1bf852 · outbound

This paper cites Long time justification of wave turbulence theory.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Long time justification of wave turbulence theory

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-02T14:27:31.202654Z

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Observation e03cb5b5-155c-4f82-83bc-b1fdc2d6a8a0 · outbound

This paper cites Derivation of the wave kinetic equation: full range of scaling laws.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Derivation of the wave kinetic equation: full range of scaling laws

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-02T14:27:31.279533Z

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Observation b15835c6-adda-4f43-a63f-e91628944919 · outbound

This paper cites Dolce, R.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Dolce, R

Reference 23

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Observation ad48318e-2ad1-48b9-b3da-25e47b1daa87 · outbound

This paper cites Escobedo.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Escobedo

Reference 24

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Observation 9862d0f7-4956-42bf-b7e6-32efd2387784 · outbound

This paper cites Escobedo.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Escobedo

Reference 25

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Observation 0d911bdd-d6b8-4f37-bdd3-3136827cc672 · outbound

This paper cites Instability of singular equilibria of a wave kinetic equation.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Instability of singular equilibria of a wave kinetic equation

Reference 26

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Observation 85c0aea4-d323-43b1-b01e-91ae829e3f0b · outbound

This paper cites Escobedo, S.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Escobedo, S

Reference 27

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Observation 291562bc-5179-4f07-b071-76646746200d · outbound

This paper cites Escobedo, S.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Escobedo, S

Reference 28

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Observation 210da3a5-4a38-4b61-a20a-5926facea394 · outbound

This paper cites Escobedo, F.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Escobedo, F

Reference 29

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Observation 7ba6d7bf-d868-431b-a442-bef2c647a0e9 · outbound

This paper cites Escobedo and M.-B.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Escobedo and M.-B

Reference 30

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Observation d6f5b6dc-8c67-419e-9a45-fb0aab17e17b · outbound

This paper cites Escobedo and J.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Escobedo and J

Reference 31

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Observation 6253cffc-ba5b-42fa-ae38-afff56a75085 · outbound

This paper cites Escobedo and J.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Escobedo and J

Reference 32

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Observation 6a9e43fc-5c15-462f-b12d-40dbc6faf11b · outbound

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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 33

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Observation 12dd589f-d418-4f68-b6d6-c735cd8c3d87 · outbound

This paper cites Germain, A.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Germain, A

Reference 34

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Observation fc72dc80-fe49-4a26-a91e-7980e7d2d0a9 · outbound

This paper cites Local Well-posedness for the Kinetic MMT Model.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Local Well-posedness for the Kinetic MMT Model

Reference 35

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Observation 8810c204-af84-4738-8fe3-93fc1a57b5a2 · outbound

This paper cites Hasselmann.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Hasselmann

Reference 36

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Observation 6f377d36-d422-4741-8bbc-72ddcb53b5a8 · outbound

This paper cites Hasselmann.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Hasselmann

Reference 37

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Observation 43d110e8-6fea-466c-ba64-3304bd6278a0 · outbound

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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 38

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Observation 15a9318b-61b4-4cf3-97dc-f75389a14ce3 · outbound

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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 39

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Observation 80d11323-a882-443b-886b-31eabdfc6fd7 · outbound

This paper cites Komornik.Lectures on functional analysis and the Lebesgue integral, volume 2.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Komornik.Lectures on functional analysis and the Lebesgue integral, volume 2

Reference 40

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Observation 1c91db51-f3d7-42e1-8554-7680b0baf5de · outbound

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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 41

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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 42

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Observation 3665bb9c-f747-450d-9f65-6de0db4ef0ca · outbound

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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 43

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Observation 02537dcd-b81d-49c8-a43a-82233022fd78 · outbound

This paper cites $L^2$-stability near equilibrium for the $4$ waves kinetic equation.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations $L^2$-stability near equilibrium for the $4$ waves kinetic equation

Reference 44

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Observation f104e8e1-c29b-403e-b0a3-92d888d84831 · outbound

This paper cites Nazarenko.Wave turbulence, volume 825 ofLecture Notes in Physics.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Nazarenko.Wave turbulence, volume 825 ofLecture Notes in Physics

Reference 45

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Observation 378b41d6-049f-4a9c-83cb-2298bd1d75b9 · outbound

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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 46

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Observation c9c1e9a2-79c6-48d5-b8e9-663dfa2b7fe0 · outbound

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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 47

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Observation 08f9b79c-9d61-4489-bd0b-52b7c2def4aa · outbound

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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 48

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Observation 67d82493-20f5-4443-a51c-1b4e85148b8e · outbound

This paper cites Pomeau and M.-B.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Pomeau and M.-B

Reference 49

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Observation aca1d0d1-72d5-4c39-a582-c84eccab84dc · outbound

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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 50

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Observation af29218f-f299-4742-bc7c-b2d9850f281e · outbound

This paper cites Rumpf, A.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Rumpf, A

Reference 51

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Observation ae341f7d-236a-436d-9eaa-3970f772c516 · outbound

This paper cites Soffer and M.-B.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Soffer and M.-B

Reference 52

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Observation 7e52d97e-4bb0-48b5-b8d0-bfcc75232859 · outbound

This paper cites Soffer and M.-B.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Soffer and M.-B

Reference 53

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Observation 89d3ef8b-fb0a-4eb9-92a9-84e2c355b4fa · outbound

This paper cites Soffer and M.-B.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Soffer and M.-B

Reference 54

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Observation 297ca4b0-8182-48a6-b639-0a8ed39ae1cb · outbound

This paper cites Condensation and non-condensation times for 4-wave kinetic equations.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Condensation and non-condensation times for 4-wave kinetic equations

Reference 55

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Observation dea3fe32-6335-4bd2-8cbb-57bc1e58381e · outbound

This paper cites Staffilani and M.-B.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Staffilani and M.-B

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-02T14:27:34.468086Z

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Observation 05face9b-d040-494c-a74f-1e97ce21b366 · outbound

This paper cites Staffilani and M-B.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Staffilani and M-B

Reference 57

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Observation 0bd16d09-cbc7-49dc-8a2e-b6cd826538d7 · outbound

This paper cites Staffilani and M.-B.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Staffilani and M.-B

Reference 58

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Observation 30506602-4477-4889-a08c-ecd6bdc6de79 · outbound

This paper cites Formation of condensations for non-radial solutions to 3-wave kinetic equations.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Formation of condensations for non-radial solutions to 3-wave kinetic equations

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-02T14:27:35.006942Z

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Observation 9c77e863-e489-4451-8b41-d35f7007bb16 · outbound

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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Unresolved cited work

Reference 60

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Observation 1658ce05-75fa-491e-bd35-90090af55bdd · outbound

This paper cites Walton and M.-B.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Walton and M.-B

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-02T14:27:35.312292Z

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Observation bdea303e-8366-4a79-80a5-3cee45ee5439 · outbound

This paper cites Walton and M-B.

Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Walton and M-B

Reference 62

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Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations Walton, M.-B

Reference 63

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Global time-analytic strong solutions for a class of 3-wave kinetic equations cites this paper.

Global time-analytic strong solutions for a class of 3-wave kinetic equations Entropy Structures and Long-Time Relaxation for 3-Wave Kinetic Equations

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