Special Session 41: Global and Blowup Solutions for Nonlinear Evolution Equations

Recent progresses on stochastic Zakharov systems
Deng Zhang
Shanghai Jiao Tong University
Peoples Rep of China
Co-Author(s):    Deng Zhang
Abstract:
In this talk we review very recent progresses on stochastic Zakharov systems in dimensions three and four. The Zakharov system couples Schroedinger and wave equations, and reaches the energy criticality in dimension four. We will mainly show the global well-posedness below the ground state and the noise regularization effects on blow-up and scattering dynamics. This talk is based on joint works with Sebastian Herr, Michael Roeckner and Martin Spitz.