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Isotropic wave turbulence with simplified kernels: Existence, uniqueness, and mean-field limit for a class of instantaneous coagulation-fragmentation processes

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posted on 2023-06-09, 12:13 authored by Sara Merino-Aceituno
The isotropic 4-wave kinetic equation is considered in its weak formulation using model (simplified) homogeneous kernels. Existence and uniqueness of solutions is proven in a particular setting where the kernels have a rate of growth at most linear. We also consider finite stochastic particle systems undergoing instantaneous coagulation-fragmentation phenomena and give conditions in which this system approximates the solution of the equation (mean-field limit).

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Publication status

  • Published

File Version

  • Published version

Journal

Journal of Mathematical Physics

ISSN

0022-2488

Publisher

AIP Publishing

Issue

12

Volume

57

Page range

121501

Department affiliated with

  • Mathematics Publications

Full text available

  • Yes

Peer reviewed?

  • Yes

Legacy Posted Date

2018-02-19

First Open Access (FOA) Date

2018-02-19

First Compliant Deposit (FCD) Date

2018-02-19

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