Oberseminar Mathematik in den Naturwissenschaften Martin Kalousek "Existence of weak solutions for a compressible, multi-component fluid structure interaction problem"

We address the question of global in time existence of weak solutions of a system of PDEs governing the interaction between two compressible mutually noninteracting fluids and a shell of Koiter type encompassing a time dependent 3D domain filled by the fluids. The dynamics of the fluids is modelled by compressible Navier-Stokes equations with a physically realistic pressure depending on densities of both the fluids. The shell constitutes the boundary of the fluid domain and it possesses a non-linear, non-convex Koiter energy.