报告人：吴开亮 （俄亥俄州立大学）

报告题目：Relations of Positivity Preservation to Divergence-Free Magnetic Field for Compressible MHD Systems

报告摘要：The density and pressure are positive physical quantities in magnetohydrodynamics (MHD). Design of provably positivity-preserving (PP) numerical schemes for compressible MHD is highly desired but remains challenging. The difficulties mainly arise from the intrinsic complexity of the MHD equations as well as the unclear relations between the PP property and the divergence-free condition on the magnetic field. In this talk, I am going to introduce our recent efforts on understanding, designing and rigorously analyzing PP methods for ideal MHD and relativistic MHD systems. Particularly, important relations between the PP property and divergence-free magnetic field will be revealed from several different viewpoints.

报告人简介：吴开亮，2007年进入sunbet中国官网数学与应用数学专业学习，2011年保送至北京大学数学科学学院科学与工程计算系师从汤华中教授，2016年博士毕业以后，分别在美国犹他大学、俄亥俄州立大学从事博士后研究工作。近年来，吴开亮主要从事偏微分方程组的高精度数值方法、数据驱动建模及科学计算等方面的研究，特别是磁流体和相对论流体力学方程组的保物理约束方法及其理论分析方面取得了突出研究成果。至今，吴开亮博士已在SIAM J. Numer. Anal.、SIAM J. Sci. Comput.、Numer. Math.、J. Comput. Phys.等计算数学顶级期刊上发表学术论文20余篇。

报告时间：2019年11月27日（星期三）上午10：00-12：00

报告地点：科技楼南楼702会议室