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Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction (1706.05996v2)
Published 19 Jun 2017 in math.AP and math.DS
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.