Applied Fluid Mechanics Colloquium
Fecha: Mar, Jun 10 2025
Hora: 12:00
Ubicación: Maryam Mirzakhani Seminar Room at BCAM and online
Ponentes: Marius Tucsnak (Institute of Mathematics of Bordeaux - University of Bordeaux)
Registro: Zoom Link
Title: PDE systems describing the motion of solids in a viscous fluid: wellposedness, control and long-time behaviour
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 subject 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 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.
Ponentes confirmados:
Marius Tucsnak defended his PhD in 1992 at the University of Orléans. That same year, he was appointed assistant professor at the University of Versailles and defended his habilitation (HDR) in 1995 at the University Pierre et Marie Curie (Paris 6).In 1997, he became a full professor at the University Henri Poincaré (Nancy 1). From 2009 to 2015, he served as head of the Elie Cartan Institute, the mathematics research department in Nancy. Since 2015, he has been a professor at the University of Bordeaux. He is a senior member of Institut Universitaire de France since 2013.
Marius Tucsnak’s research interest include control theory for partial differential equations, as well as the analysis of systems describing fluid-structure interactions.
Marius Tucsnak is the co-author (with George Weiss) of the research monograph “Observation and Control for operator semigroups” , and he published more than 100 papers in international scientific journals. He was/is a member of the editorial board of many International journals. Prof. Tucsnak’s contributions to the field have been recognized by the SIAM W. T. & Idalia Reid Prize in 2025 and by the Spiru Haret of the Romanian Academy in 2018. He was invited speaker in 2022 at the International Congress of Mathematicians