活动时间：2024-05-08 16:00

活动地点：2号学院楼235报告厅

主讲人：Anna Kostianko

主讲人简介：Anna Kostianko是浙江师范大学双龙学者特聘教授。于2008-2012年进入V. N. Karazin哈尔科夫国立大学数学系学习，2013 -2017年在英国萨里大学数学获得博士学位。Anna Kostianko 教授主要从事无穷维耗散动力系统的研究，特别是在谱间隙条件缺失时惯性流形相关问题的研究，取得了一系列重要的创新工作，在Math. Ann.、Anal. PDE、SIAM J. Math. Anal.、Nonlinearity等国际知名学术期刊上发表多篇学术论文。

内容摘要：It is well known that in general, we cannot expect more than C^{1,ε}-regularity for inertial manifolds (for some positive, but small ε). Nevertheless, as we will show in the talk, under the natural assumptions, the obstacles to the existence of a C^n-smooth inertial manifold (where n ∈ N is any given number) can be removed by increasing the dimension and by modifying properly the nonlinearity outside of the global attractor (or even outside the C^{1,ε}-smooth IM of a minimal dimension).

主持人：孙春友