Nolocal Maximum Principles For Active Scalars (2)
Speaker(s): 薛留堂博士 中国工程物理研究生院研究生部
Time: 00:00-00:00 October 22, 2010
Venue: 资源大厦1218教室
题目: NONLOCAL MAXIMUM PRINCIPLES FOR ACTIVE SCALARS
作者: ALEXANDER KISELEV
报告时间:10月 22日上午:8:30-11:30, 下午:2:00--5:00 (星期五)
地点:资源大厦1218教室
报告人:中国工程物理研究生院研究生部, 薛留堂博士
摘要: Active scalars appear in many problems of ?uid dynamics. The most common examples of active scalar equations are 2D Euler, Burgers, and 2D surface quasi-geostrophic equations. Many questions about regularity and properties of solutions of these equations remain open. We develop the idea of nonlocal maximum principle introduced in [18], formulating a more general criterion and providing new applications. The most interesting application is ?nite time regularization of weak solutions in the supercritical regime.