Analysis of coupled phase-field models describing damage phenomena
Seminar Room 2, Newton Institute Gatehouse
AbstractCo-authors: Christiane Kraus (WIAS Berlin), Elisabetta Rocca (WIAS Berlin / University of Pavia)
In this talk we are going to investigate evolution inclusions describing damage processes in elastic media which are coupled with further physical phenomena such as heat conduction or phase separation. The main difficulty in the analysis of these PDE systems is the irreversibility condition for the damage progression. To handle this highly nonlinear behavior we develop an appropriate notion of weak solution consisting of a variational inequality and a full energy inequality. Results ensuring the existence of weak solutions will be presented. The talk is based on joint works with C. Kraus (WIAS) and E. Rocca (WIAS/University of Pavia).