Global well-posedness of the 2-D MHD with variable density and electrical conductivity

报告人：Prof. Gui Guilong（Northwestern University of China）

题  目：Global well-posedness of the 2-D MHD with variable density and electrical conductivity

时  间：07.09(星期三), 16:00--17:00

地  点：晨兴数学中心410室

摘 要：

Studied in this paper is the Cauchy problem of the 2-D magnetohydrodynamics system with inhomogeneous density and electrical conductivity. It is shown that the 2-D incompressible inhomogeneous magnetohydrodynamics system with a constant viscosity is globally well-posed for a generic family of the variations of the initial data and an inhomogeneous electrical conductivity. Moreover, it is established that the system is globally well-posed in the critical spaces if the electrical conductivity is homogeneous.