Special Session 60: 

Existence of weak solutions to a cross-diffusion system with Cahn-Hilliard type terms

Greta Marino
University of Technology Chemnitz
Germany
Co-Author(s):    Virginie Ehrlacher, Jan-Frederik Pietschmann
Abstract:
We consider a system of parabolic equations which incorporate both cross-diffusion and higher order terms of Cahn-Hilliard type. Using the formal gradient flow structure of the system we show existence of weak solutions by means of a-priori estimates, a discretized-in-time scheme and an application of Schauder`s fixed point theorem.