题  目：Well-posedness of Cauchy problem for Landau equation in critical Besov space
 

报告人： 徐超江 教授（武汉大学和法国鲁昂大学）

摘  要：  In this work, we study the Cauchy problem for the inhomogeneous Landau equation with Maxwellian molecule in the Chemin-Lerner type space. We prove the global existence of classical solution where the initial datum is a small perturbation of an equilibrium in the critical Besov space. In order to analyse the collision operator of Landau equation, by using the spectral analysis and a Chemin-Lerner norm, we obtained global a priori estimate for an energy estimate.
Following from commutator estimates and the Hahn-Banach extension theorem, we prove the local existence of solutions to the Landau equation. In perturbation framework, together with local existence and a priori energy estimate, we proved the global solution of the Cauchy problem for nonlinear Landau equation.

时  间:  2018年5月9日 ( 周三） 16:00--17:00

地  点:蒙民伟楼1105室

邀请人:栗付才  老师