Global solutions of quasi-geostrophic shallow water front problems

活动时间:2023-12-15 15:00

活动地点:2号学院楼235报告厅

主讲人:张擎天

主讲人中文简介:

张擎天博士本科毕业于复旦大学,于2016年获宾州州立大学应用数学博士学位,其后在加州大学戴维斯分校做博士后研究。2019年起任西弗吉尼亚大学助理教授。其研究兴趣为色散方程、双曲守恒律以及流体力学方程的分析理论。

活动内容摘要:

In this talk, I will introduce the vortex front problem for quasi-geostrophic shallow water equation, which is also known as Hasegawa-Mima equation in plasma science. The contour dynamic equation of the vortex front will be derived, which is a nonlocal, nonlinear dispersive equation. The existence of global solutions will be proved when the initial data is small.

主持人:秦玉明、查冬兵