Well-posedness for modified higher-order anisotropic Cahn–Hilliard equations

Article type: Research Article

Authors: Peng, Shuiran^a | Zhu, Hongyi^{b; *}

Affiliations: [a] Laboratoire de Mathématiques et Applications, UMR CNRS 7348, Université de Poitiers, Boulevard Marie et Pierre Curie – Téléport 2, F-86962 Chasseneuil Futuroscope Cedex, France. E-mail: Shuiran.Peng@math.univ-poitiers.fr | [b] Fujian Provincial Key Laboratory of Mathematical Modeling and High Performance Scientific Computing, School of Mathematical Sciences, Xiamen University, Xiamen, Fujian, China. E-mail: hyzhu@stu.xmu.edu.cn

Correspondence: [*] Corresponding author. E-mail: hyzhu@stu.xmu.edu.cn.

Abstract: Our aim in this paper is to study a modified higher-order (in space) phase field crystal model taking anisotropy into account. In particular, we deduce a priori estimates to prove well-posedness results and the dissipativity of the semigroup.

Keywords: Modified phase field crystal equation, higher-order models, anisotropy, a priori estimates, dissipative semigroup

DOI: 10.3233/ASY-181494

Journal: Asymptotic Analysis, vol. 111, no. 3-4, pp. 201-215, 2019