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Motion of rigid bodies inside a viscous fluid

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I will consider a system coupling the incompressible Navier Stokes equations and the Newton laws in order to describe the motion of rigid bodies inside a viscous fluid. First, I will present results on the existence of global-in-time finite-energy solutions, including a discussion on the possibility of contacts between rigid bodies. I will then detail a work in progress on the long-time behavior of these solutions.

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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