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Differential Equations Seminar

Derivation of wave kinetic equations for three wave models
Thursday, September 29, 2022
4:00-5:00 PM
4088 East Hall Map
Wave kinetic equations (WKE) describe the statistical behavior of turbulence in wave equations. In this presentation, I will first give a brief introduction to the physics of wave turbulence and discuss papers of Deng and Hani about the derivation of WKE for four wave models. Then I present my recent paper about the derivation of wave kinetic equations for a three wave model, the KZ equation. The proof is based on a detailed graphical analysis of degeneracy manifold of the resonant surface.
Speaker(s): Xiao Ma (Princeton)
Building: East Hall
Event Type: Workshop / Seminar
Tags: Mathematics
Source: Happening @ Michigan from Department of Mathematics