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arxiv: 1706.05996 · v2 · submitted 2017-06-19 · 🧮 math.AP · math.DS

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

classification 🧮 math.AP math.DS
keywords reactionattractorbehaviorcahn-hilliardexistencelong-timenonlocalclasses
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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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