主题: Some recent results on compressible MHD without resistivity主讲人: 孙永忠地点: 松江校区2号学院楼331理学院报告厅时间: 2018-06-22 15:00:00组织单位: 非线性科学研究所
主讲人简介：孙永忠，南京大学数学系教授，主要从事流体力学中非线性偏微分方程的数学理论研究。近年来在Nonlinearity, J. Diff. Equa., Arch. Rational Mech. Anal., Comm. Math. Phys., Comm. Pure Appl.Math., J. Math. Pure Appl.等杂志上发表系列文章。主要成果包括可压缩Navier－Stokes方程局部强解的爆破准则和整体弱解的正则性判别准则，几类与Navier－Stokes耦合模型二维情形下的整体正则解，可压缩Navier－Stokes方程的奇异极限，以及MHD方程中的Current－Vortex Sheet自由边界问题局部适定性等。
内容摘要：In this talk, I will give some recent results on the compressible MHD system without resistivity. We mainly concerns with the existence of global weak solutions without size restriction on the initial data. In 1D case we give the existence, uniqueness as well as large time behavior for weak solutions to the initial-boundary value problems under Lagrangian formulation, which is similar the classical works for 1D compressible Navier-Stokes equations. In 2D case we give the existence of weak solutions under a special setting. Finally some unsolved problems will also be presented.
讲座主持：秦玉明 教授
讲座语言：英语