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Higher-order models in phase separation
Authors:Laurence Cherfils  Alain Miranville and Shuiran Peng
Institution:Universit\''e de La Rochelle, Laboratoire Math\''ematiques, Image et Applications, Avenue Michel Cr\''epeau, F-17042 La Rochelle Cedex, France,Universit\''e de Poitiers, Laboratoire de Math\''ematiques et Applications, UMR CNRS 7348 - SP2MI, Boulevard Marie et Pierre Curie - T\''el\''eport 2, F-86962 Chasseneuil Futuroscope Cedex, France and Universit\''e de Poitiers, Laboratoire de Math\''ematiques et Applications, UMR CNRS 7348 - SP2MI, Boulevard Marie et Pierre Curie - T\''el\''eport 2, F-86962 Chasseneuil Futuroscope Cedex, France
Abstract: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.
Keywords:Allen-Cahn model  Cahn-Hilliard model  higher-order models  well-posedness  dissipativity  global attractor  
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