A class of large solutions to the supercritical surface quasi-geostrophic equation

主题:  A class of large solutions to the supercritical surface quasi-geostrophic equation主讲人:  刘见礼地点:  松江校区2号学院楼331理学院报告厅时间:  2019-05-17 10:30:00组织单位:   理学院

报告人简介:

刘见礼,上海大学理学院副教授。主持国家自然科学基金2项,教育部博士点基金1项,上海市优秀青年教师培养计划1项。参与国家基金3项。发表学术论文24篇,其中SCI论文22篇,国内外多个杂志审稿人。曾荣获“2011上海市优秀博士论文”、“2015上海市优秀硕士论文”指导教师、上海大学研究生十佳'好导师’。曾访问宾州州立大学、纽约大学、上海数学中心等大学及科研机构。

报告摘要:

Whether or not classical solutions to the surface quasi-geostrophic (SQG) equation can develop finite time singularities remains an outstanding open problem. This paper constructs a class of large global-in-time classical solutions to the SQG equation with supercritical dissipation. The construction process presented here implies that any solution of the supercritical SQG equation must be globally regular if its initial data is sufficiently close to a function (measured in a Sobolev norm) whose Fourier transform is supported in a suitable region away from the origin.

报告主持:秦玉明


撰写:秦玉明