Special Session 39: Recent Developments in Gradient Flows: Theory, Numerics, and Applications

The Cahn-Hilliard equation with a source term
Alain Miranville
University Le Havre Normandie
France
Co-Author(s):    
Abstract:
Our aim in this talk is to discuss the Cahn-Hilliard equation with a (nonlinear) source term and a logarithmic nonlinear term. Such an equation has applications in, e.g., tumor growth and image processing. In particular, we discuss the existence of weak solutions and their regularity.