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Title: Isotropic wave turbulence with simplified kernels: existence, uniqueness and mean-field limit for a class of instantaneous coagulation-fragmentation processes
Keywords: Science & Technology;Physical Sciences;Physics, Mathematical;Physics;EQUATION;MODELS;Mathematical Physics;01 Mathematical Sciences;02 Physical Sciences
Issue Date: 5-Dec-2016
Publisher: AIP Publishing
Description: 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).
Other Identifiers: 1089-7658
Type Of Material: OTHER
Appears in Collections:Mathematics

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