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arXiv · 1706.05996

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

Annalisa Iuorio·Stefano Melchionna
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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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Annalisa Iuorio, Stefano Melchionna. 2017-06-19. Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction. https://doi.org/10.3934/dcds.2018163

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