中科院数学与系统科学研究院
数学研究所
调和分析及其应用中心
学术报告会
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.