Oberseminar Mathematische Strömungsmechanik

Abstract:
The existence of global-in-time weak/strong solutions to models of compressible viscous fluids with non-linear viscosity tensor is largely open. We propose a new approach to models of general compressible viscous fluids based on the concept of dissipative solutions. These are weak solutions satisfying the underlying equations modulo a defect measure. A dissipative solution coincides with the strong solution as long as the latter exists (weak-strong uniqueness) and they solve the problem in the classical sense as soon as they are smooth (compatibility). We consider a class of viscous fluids with a general monotone dependence of the viscous stress on the symmetric velocity gradient and non-homogeneous boundary conditions.

This is joint work among others with Eduard Feireisl.

via Zoom video conference (request the Zoom link from klingen@mathematik.uni-wuerzburg.de)