The speaker: Professor Toshiaki Hishida (Nagoya University, Japan)
Title of the talk: “Optimal boundary control for steady motions of a self-propelled body in a viscous incompressible fluid”.
Time: Thursday, 22 of April 2021, 16:00 - 17:00.
Abstract. Consider steady motions of a self-propelled rigid body into an infinite viscous incompressible fluid in 3D. We say that a body undergoes a self-propelled motion if the external force and external torque acting on fluid-body are zero so that the body moves only by a mechanism produced by itself at the boundary through fluid-body interaction. Given translational and angular velocities being assumed to be small, we show the existence of many boundary controls subject to a physically relevant side condition (such as tangential control or localized control) which generate the self-propelled motion of the body with target velocity and then discuss minimization of the work to overcome the drag. We next derive a necessary condition for optimal boundary control in terms of a variational inequality, where the adjoint state associated with the optimal control is involved as a Lagrange multiplier. This talk is based on a joint work with Ana Silvestre (Lisbon) and Takeo Takahashi (Nancy).
ZOOM Id: 836 7313 8944
We are pleased to inform you that the information on previous talks is available on the seminar web page https://researchseminars.org/seminar/Cafe_Analysis_and_Fluid see Past Talks section.
Organizing Committee: Professors Zhen Lei, Mikhail Korobkov, Adele Ferone, Remigio Russo and Konstantin Pileckas.
This seminar is organized by Fudan University (Shanghai, China) with the collaboration of Universita degli studi della Campania "Luigi Vanvitelli" (Caserta, Italy) and Vilnius University (Vilnius, Lithuania). This seminar is meant to gather renowned experts working on Geometric and Real Analysis with applications to PDEs and Mathematical Physics and represents an opportunity for presenting high-impact research, as well as facilitating the exchange of ideas between researchers.