Colloquium at Math Department at WVU, Fall 2019

Date: Wednesday, September 4, 3:30pm

Location: 315 Armstrong Hall

Speaker: Professor Qingtian Zhang, Department of Mathematics, West Virginia University

Title: SOLUTIONS OF SQG FRONT PROBLEMS

Abstract: We consider a family of patch-like solutions of surface quasi-geostrophic (SQG) equation, where the patch may be unbounded. We derive the equations of the contour dynamics under different geometrical situations and prove that the initial value problems have unique local smooth solutions. Under a smallness assumption on the initial data, with the help of the dispersive estimate, we are able to prove the global existence of the solutions for SQG front problem. Open problems will be provided. Graduate students are welcome.