Special Session 72: Fluid-structure interaction and free boundary problems

On the problem of compressible fluid-structure interaction with Navier boundary conditions
Sarka Necasova
Czech Academy of Sciences
Czech Rep
Co-Author(s):    K. Bhandari, I. Djebour, S.Mitra, Y.Liu,
Abstract:
In the talk, we will focus on the problem of compressible barotropic fluid with elastic structure and with Navier boundary conditions. We show the existence of weak solutions, a singular limit to the inviscid case. This part of the talk is based on collaboration with S. Mitra and Y. Liu. Moreover, we show the existence of a strong solution and the uniqueness of the strong solution. It is based on the work with K. Bhandari and I. Djebour.