题目： NONLOCAL MAXIMUM PRINCIPLES FOR ACTIVE SCALARS

作者：  ALEXANDER KISELEV

报告时间：10月12日上午：8:30－11:30, 下午：2:00--5:00 (星期二)

地点：资源大厦1213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.