北京科学与工程计算研究院学术报告之九十九

报告人/Speaker: 琚强昌 研究员(北京应用物理与计算数学研究所)


报告题目/Title: Singular Limits of Evolutionary PDEs


时间/Date & Time: December 26(周三), 2018, 11:00—12:00


地点/Location: 理科楼M842报告厅


报告摘要/Abstract:

Singular limits of a class of evolutionary systems of partial differential equations having two small parameters and hence three time scales are considered. Under appropriate conditions solutions are shown to exist and remain uniformly bounded for a fixed time as the two parameters tend to zero at different rates. Under further conditions the solutions of the original system tend to solutions of a limit equation as the parameters tend to zero. Finally, we apply the results to the problem that motivated this research, namely the simultaneous zero Alfven number and zero Mach number limit of the scaled compressible inviscid MHD equations. This is a joint research work with Bin Cheng from Surrey university and Steve Schochet from Tel-Aviv University.


报告人简介/About the speaker:

琚强昌,北京应用物理与计算数学研究所研究员,博士生导师。在河南师范大学获得学士和硕士学位后,于2003年在中科院数学所获博士学位,师从肖玲研究员。2003年至2005年在德国和意大利从事博士后研究。研究领域为:可压缩流体力学方程的数学理论。