Zu Chongzhi Mathematics Research Seminar

Date and Time (China standard time): Tuesday, October 31, 8:00 pm-9:00 pm

Zoom: 968 7724 2000; Passcode: dkumath

Title: Global solutions of quasi-geostrophic shallow water front problems

Speaker: Qingtian Zhang

Bio: Dr. Qingtian Zhang graduated from Pennsylvania State University in 2016 with the PhD degree in Applied Math. After that he worked in University of California Davis as a Postdoc. He joined West Virginia University in 2019 as a tenure-track assistant professor. His research interests include analysis of dispersive PDE’s, hyperbolic conservation laws, and fluid mechanics. 

Abstract: 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.