分析和PDE讨论班——External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid
主 题: 分析和PDE讨论班——External boundary control of the motion of a rigid body immersed in a perfect two-dimensional fluid
报告人: Franck Sueur (University of Bordeaux)
时 间: 2017-09-26 15:00-16:00
地 点: 理科1号楼1418
Abstract: We consider the motion of a rigid body due to the pressure of a surrounded two-dimensional irrotational perfect incompressible fluid, the whole system being confined in a bounded domain with an impermeable condition on a part of the external boundary. Thanks to an impulsive control strategy we prove that there exists an appropriate boundary condition on the remaining part of the external boundary (allowing some fluid going in and out the domain) such that the immersed rigid body is driven from some given initial position and velocity to some final position and velocity in a given positive time, without touching the external boundary. This is a joint work with Olivier Glass and Jozsef Kolumban (Université Paris-Dauphine).