Merino-Aceituno, Sara (2016) Isotropic wave turbulence with simplified kernels: Existence, uniqueness, and mean-field limit for a class of instantaneous coagulation-fragmentation processes. Journal of Mathematical Physics, 57 (12). p. 121501. ISSN 0022-2488
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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 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).
Item Type: | Article |
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Schools and Departments: | School of Mathematical and Physical Sciences > Mathematics |
Subjects: | Q Science > QA Mathematics |
Depositing User: | Billy Wichaidit |
Date Deposited: | 19 Feb 2018 10:56 |
Last Modified: | 19 Feb 2018 10:56 |
URI: | http://srodev.sussex.ac.uk/id/eprint/73683 |
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