Distinguished Lecture——PDE systems describing the motion of solids in a viscous fluid: wellposedness, control and long-time behaviour
报告人：Marius Tucsnak (University of Bordeaux)
时间：2024-05-10 14:00-15:00
地点：智华楼四元厅
Abstract: The study of systems describing the motion of rigid bodies in a fluid goes back to Euler and Kirchhoff, who considered the case of an ideal fluid undergoing a potential flow. The case of a single solid moving in a viscous incompressible fluid filling the whole space was considered much later, around 1980 by Weinberger and Serre. Welposedness issues for the case when the solid-fluid system is contained in a bounded container or/and of several moving bodies has been intensively studied since 2000. In this talk we first recall some of these wellposedness results . We next describe some associated control problems, aimed, in particular to provide a new approach to the understanding of the swimming of aquatic organisms. We finally describe some recent results concerning the long-time behaviour of solutions.
Bio: Marius Tucsnak is Professor of Mathematics at the University of Bordeaux in France and presently a Visiting Professor of Mathematics at NYU Shanghai. His fields of expertise are the analysis and the control of systems governed by partial differential equations. In 2022 he was an invited speaker to ICM, and since 2013 he has been a Member of Institut Universitaire de France (IUF).
