Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction

Abstract

In this paper we study the long-time behavior of a nonlocal Cahn-Hilliard system with singular potential, degenerate mobility, and a reaction term. In particular, we prove the existence of a global attractor with finite fractal dimension, the existence of an exponential attractor, and convergence to equilibria for two physically relevant classes of reaction terms.

References in corpus (4)

• Phase Segregation Dynamics in Particle Systems with Long Range Interactions I: Macroscopic Limits
• A generalized Cahn-Hilliard equation for biological applications
• Global and trajectory attractors for a nonlocal Cahn-Hilliard-Navier-Stokes system
• On a nonlocal Cahn-Hilliard equation with a reaction term