Isotropic wave turbulence with simplified kernels: existence, uniqueness and mean-field limit for a class of instantaneous coagulation-fragmentation processes
File(s)
Published version
Author(s)
Merino Aceituno, S
Type
Journal Article
Abstract
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 nite stochastic
particle systems undergoing instantaneous coagulation-fragmentation phenomena and give
conditions in which this system approximates the solution of the equation (mean-field limit).
setting where the kernels have a rate of growth at most linear. We also consider nite stochastic
particle systems undergoing instantaneous coagulation-fragmentation phenomena and give
conditions in which this system approximates the solution of the equation (mean-field limit).
Date Issued
2016-12-05
Date Acceptance
2016-11-12
Citation
Journal of Mathematical Physics, 2016, 57 (12)
ISSN
1089-7658
Publisher
AIP Publishing
Journal / Book Title
Journal of Mathematical Physics
Volume
57
Issue
12
Copyright Statement
C 2016 Author(s). All
article content, except where otherwise noted, is licensed under a Creative Commons
Attribution 3.0 Unported License
article content, except where otherwise noted, is licensed under a Creative Commons
Attribution 3.0 Unported License
Subjects
Science & Technology
Physical Sciences
Physics, Mathematical
Physics
EQUATION
MODELS
Mathematical Physics
01 Mathematical Sciences
02 Physical Sciences
Publication Status
Published
Article Number
121501