报告题目：Bi-Lipschitz embeddings of attractors defined on multi-dimensional bounded domains

报告简介： It is well-known that the finite dimensional reduction can be realized via by constructing bi-Lipschitz Man\'e projections or inertial manifolds for dissipative PDEs, and the known applications were mainly restricted to the PDEs defined on periodic domains with dimension two or three, and usually no longer valid for case such as the space dimensions $d\geq 4$ or general bounded domains. This talk will report our recent attampt in this direction, especially, for some special case, we provide a criterion which can deal with the case of multi-dimensional ($d\geq 4$) general bounded domains (aperiodic). As an application, we prove the existence of bi-Lipschitz Ma\~{n}\'e projections for a class of fractional Cahn-Hillard equations with Kirchhoff-type nonlinearity. This is a joint work with Dr Xinhua Li and Ziqi Niu.

报告人：孙春友，兰州大学/东华大学博士生导师，2011年入选教育部“新世纪优秀人才支持计划”，2015年获国家优秀青年科学基金。主要从事无穷维动力系统、非线性分析、偏微分方程方面的研究工作，部分工作发表研究领域的核心期刊上，已在Izvestiya Math., Trans. Amer. Math. Soc., Math. Ann., Proc. Amer. Math. Soc., SIAM J. Math. Anal., SIAM J. Applied Dyn. Systems,J. Differential Equations等期刊上发表论文50余篇。

报告时间：2024年11月16日（星期六）上午 9:30-10:30.

报告地点：扬州大学瘦西湖校区56号楼208

主办单位：扬州大学数学科学学院

联系人：凌智

欢迎广大师生参加！