Event

J. Kolumban (Uni Leipzig): Remote motion planning for the movement of rigid bodies in a 2D perfect incompressible fluid

Ort: Oberseminar Analysis Augusteum Felix-Klein-Hörsaal

We study the motion of several rigid bodies immersed in a two-dimensional incompressible perfect fluid, the whole system occupying a bounded simply connected domain. The external fixed boundary is impermeable except on an open non-empty part where one controls both the normal velocity, allowing some fluid to go in and out the domain, and the entering vorticity. The motion of the rigid bodies is given by the Newton laws with forces due to the fluid pressure and the fluid motion is described by the incompressible Euler equations. We show that it is possible to exactly achieve any non-colliding smooth motion of the rigid bodies by the remote action of a controlled normal velocity on the outer boundary which takes the form of state-feedback, with zero entering vorticity.

No Attachment

Seminar

Beginn: June 1, 2022, 3 p.m.

Ende: June 1, 2022, 5 p.m.