Special Session 7: Emergence and Dynamics of Patterns in Nonlinear Partial Differential Equations and Related Fields
The Cahn-Hilliard equation with a source term
Alain Miranville
University of Poitiers 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 potential. In particular, we discuss the existence of weak solutions and additional regularity.
Such an equation has applications in image processing, biology, tumor growth, ...