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.