Higher-order generalized Cahn–Hilliard equations | Zendy

Laurence Cherfils | Zendy; Alain Miranville | Zendy; Shuiran Peng | Zendy; Wen Zhang | Zendy

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Higher-order generalized Cahn–Hilliard equations

Author(s) -

Laurence Cherfils,

Alain Miranville,

Shuiran Peng,

Wen Zhang

Publication year - 2017

Publication title -

electronic journal of qualitative theory of differential equations

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.524

H-Index - 33

ISSN - 1417-3875

DOI - 10.14232/ejqtde.2017.1.9

Subject(s) - mathematics , order (exchange) , cahn–hilliard equation , mathematical economics , mathematical analysis , partial differential equation , economics , finance

Our aim in this paper is to study higher-order (in space) anisotropic generalized Cahn–Hilliard models. In particular, we obtain well-posedness results, as well as the existence of the global attractor. Such models can have applications in biology, image processing, etc. We also give numerical simulations which illustrate the effects of the higher-order terms on the anisotropy.

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