报告题目：Global Strong and Weak Solutions to the Initial-boundary-value Problem of 2D Compressible MHD System with Large Initial Data and Vacuum
报 告 人： 施小丁 教授
工作单位： 北京化工大学
报告时间： 2022-11-21(周一) 14:30-17:30
腾讯会议ID： 794 364 7383
报告摘要：In this talk, we discuss the barotropic compressible MHD equations with the shear viscosity being a positive constant and the bulk one being proportional to a power of the density in a general two-dimensional bounded simply connected domain. For initial density allowed to vanish, we prove that the initial-boundary-value problem of 2D compressible MHD system admits the global strong and weak solutions without any restrictions on the size of initial data provided the shear viscosity is a positive constant and bulk one is $\lambda=\rho^\beta$ with $\beta>4/3$. As we known, this is the first result concerning the global existence of strong solutions to the compressible MHD system in general two-dimensional bounded domains with large initial data and vacuum.
报告人简介： 施小丁，北京化工大学教授，1996年博士毕业于中国科学院数学与系统科学研究院。主要研究领域为流体力学方程组的相关问题，包括可压缩Navier-Stokes方程组的各种波的叠加、碰撞等大时间行为；非牛顿不可压缩Navier-Stokes方程组固液耦合问题和混合边值问题解的适定性及数值分析；非混相两相流方程组的解的适定性、大时间行为以及奇异极限问题等。部分成果发表在数学领域的重要杂志Comm. Math. Phys., Indiana Univ. Math. J., SIAM J. Math. Anal.,Nonlinearity，J. Differential Equations等，多次主持及参与国家自然科学基金项目。
