Local classical solutions of a kinetic equation for three waves interactions in presence of a Dirac measure at the origin
Year: 2025
Type: preprint
Abstract: The existence of local, classical solutions is proved, for a system of two coupled equations that describe, in the framework of the wave turbulence theory, the fluctuations around an equilibrium, of a system of nonlinear waves satisfying the 3-d cubic Schrödinger equation, weakly interacting in presence of a condensate. The function that describes the density of waves behaves like a singular Rayleigh Jeans equilibria near the origin, and induces a strictly increasing behavior in time of the function describing the condensate's density.
Source: arXiv (Cornell University)
Author: Escobedo, Miguel
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979258007
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