报 告 人： 吕博强

所在单位： 南昌航空大学数学与信息科学学院

报告地点： 数学学院621

报告时间： 2018-10-10 14:00

报告题目：On global strong solutions to nonhomogeneous incompressible Navier-Stokes and MHD equations with vacuum

报告简介：

This talk concerned with the global well-posedness of strong solutions to the Cauchy problem of 2D NS and MHD equations with vacuum. First, it is proved that the 2D Cauchy problem of the nonhomogeneous incompressible NS equations admits a unique global strong solution provided that the initial density decays not too slow at infinity. Next, if both the initial density and the initial magnetic decay not too slow at infinity, we also establish the global existence and large time behavior of the strong solutions to the 2D nonhomogeneous incompressible MHD equations. In particular, the global strong solutions to both NS and MHD equations are not required any smallness assumptions on the initial data.

报告人简介：

吕博强博士，主要研究方向为偏微分方程及其应用、流体动力学方程，主持国家自然科学基金2 项，省自然科学基金2项，中国博士后基金一等资助1项，在《J. Math. Pures Appl.》、《Indiana Univ. Math. J.》、《Nonlinearity》等国际数学刊物上发表论文13篇。