N. N

Angeliki Menegaki (Imperial College London): L^2-stability for the 4-waves kinetic equation around the Rayleigh-Jeans equilibrium. Kolloquium Partial Differential Equations

Tuesday, 28.11.2023 14:15 im Raum SRZ 203

Mathematik und Informatik

"We consider the four-waves spatial homogeneous kinetic equation arising in weak wave turbulence theory. In this talk I will present some new results on the existence and long-time behaviour of solutions around the Rayleigh-Jeans thermodynamic equilibrium solutions. In particular, I will present an $L^2$ stability of mild solutions on the whole frequency space for initial data close to Rayleigh-Jeans when assuming radial solutions for the equation, as well as a stability of the same kind without the radial solution-assumption but after introducing a cut-off on the frequencies. Parts of this talk are joint works with Miguel Escobedo (UPV/EHU).

Angelegt am 28.09.2023 von N. N
Geändert am 30.10.2023 von Anke Pietsch
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