arXiv:1706.05996 Abstract | arXiv Analytics

arXiv:1706.05996 [math.AP]Abstract References Reviews Resources

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

Published 2017-06-19Version 1

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.

Categories: math.AP, math.DS

Subjects: 37L30, 45K05

Keywords: nonlocal cahn-hilliard equation, long-time behavior, reaction term, nonlocal cahn-hilliard system, finite fractal dimension

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