Higher-order anisotropic models in phase separation

Our aim in this paper is to study higher-order (in space) Allen–Cahn and Cahn–Hilliard models. In particular, we obtain well-posedness results, as well as the existence of the global attractor. We also give, for the Allen–Cahn models, numerical simulations which illustrate the effects of the higher-...

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Bibliographic Details
Main Authors: Cherfils Laurence, Miranville Alain, Peng Shuiran
Format: Article
Language:English
Published: De Gruyter 2017-03-01
Series:Advances in Nonlinear Analysis
Subjects:
Online Access:https://doi.org/10.1515/anona-2016-0137