Special Session 87: Mathematical Insights into Phase-Field Models

New results on a variant of the Cahn-Hilliard equation with non-variational structure
Abramo Agosti
University of Pavia
Italy
Co-Author(s):    Andrea Giorgini
Abstract:
In this talk I will present a variant of the Cahn-Hilliard equation well-known in the Statistical Physics community, which is not derivable from variational principles and which may describe continuum materials constituted by particles that can convert energy into directed motion. This model has multiple applications in biomedicine and engineering. I will show quantitative results about the phase-separation and coarsening dynamics, and both analytical and numerical results for the model equation.