On compressible fluids interacting with a linear-elastic shell
Date
Thursday, November 30, 2017 16:00 - 18:00
Speaker
Sebastian Schwarzacher (Charles University, Prague)
Location
Big Seminar room Ground floor / Office Bldg West (I21.EG.101)
Series
Seminar/Talk
Tags
Mathematics and CS Seminar
Host
Julian Fischer
Contact
We study the Navier--Stokes equations governing the motion of an isentropic compressible fluid in three dimensions interacting with a flexible shell. The latter one constitutes a moving part of the boundary of the physical domain. Its deformation is modeled by a linearized version of Koiter's elastic energy.
We discuss the existence of weak solutions to the corresponding system of PDEs provided the adiabatic exponent satisfies 
in two dimensions). The solution exists until the moving boundary approaches a self-intersection.
It is a joint work with D. Breit (Heriot-Watt Univ. Edinburgh).