Iuorio, A., & Melchionna, S. (2018). Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction. Discrete and Continuous Dynamical Systems - Series A, 38(8), 3765–3788. https://doi.org/10.3934/dcds.2018163
Discrete and Continuous Dynamical Systems - Series A
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ISSN:
1078-0947
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Datum (veröffentlicht):
2018
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Umfang:
24
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Peer Reviewed:
Ja
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Keywords:
Applied Mathematics; Analysis; Discrete Mathematics and Combinatorics
en
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.
