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

2017/06/19 by Iuorio, Annalisa, Melchionna, Stefano
#37L30 #45K05 #Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.1706.05996

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.

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