Special Session 18: 

Gradient structures for flows of concentrated suspensions

Marita Thomas
Weierstrass Institute Berlin
Germany
Co-Author(s):    Dirk Peschka, Barbara Wagner
Abstract:
We discuss a two-phase model of Stokes-Stokes type for concentrated non-Brownian suspensions with yield-stress behaviour. We establish a PDE formulation in terms of a gradient structure, featuring dissipative coupling terms between fluid and solid phase as well as different driving forces. Routes of mathematical analysis in the framework of generalized gradient flows and extentions of this structure to applications in Geosciences are outlined.