Collective behavior of particles in fluids
Paris, December 14-17, 2020

Muriel Boulakia (Sorbonne Université)

Well-posedness of interaction problems coupling a viscous fluid and an elastic structure

In this talk, I will first make a general presentation on fluid-structure interaction problems and give an overview of the main difficulties appearing in their study. Then, I will present a result of existence and uniqueness of solution defined locally in time for the coupling between the incompressible Navier-Stokes equation and the linearized elasticity equation. This result has been obtained in a joint work with S. Guerrero and T. Takahashi.

See slides and record.