学术报告

题      目：Global solutions of quasi-geostrophic shallow water front problems

报  告  人：张擎天  助理教授  (邀请人：李颖花、王勇 )

                                    West Virginia University

时      间：12月6日  17：00-18：00

地     点：数科院西楼111报告厅

报告人简介:

        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.

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.

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