Global $L^2$ solutions for the 1D Zakharov equations with additive noises
主 题: Global $L^2$ solutions for the 1D Zakharov equations with additive noises
报告人: Y. Tustsumi (Kyoto University)
时 间: 2013-11-07 16:00-17:00
地 点: 理科一号楼1303 （主持人：王保祥）
We consider the global existence of $L^2$ solutions for the 1D Zakharov equations with additive noises. The 1D Zakharov equations with additive noises are proposed to model the Langmuir turbulence in the ionospheric plasma. We employ the argument by Colliander, Holmer and Tzirakis (2008) to prove the global existence of solutions for the stochastic Cauchy problem with Schrodinger part in $L^2$ and wave part in $H^{-1/2}$.
