Higher-order Cahn-Hilliard equations with dynamic boundary conditions

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:449

Article

Mininni, Rosa Maria¹  Miranville, Alain²  Romanelli, Silvia¹ 

[1] Univ Bari Aldo Moro, Dipartimento Matemat, Via E Orabona 4, I-70125 Bari, Italy

[2] Univ Poitiers, UMR CNRS 7348, SP2MI, Lab Mathemat & Applicat, Blvd Marie & Pierre Curie,Teleport 2, F-86962 Futuroscope, France

关键词: Cahn-Hilliard equation;    Higher-order equations;    Dynamic boundary conditions;    Well-posedness;    Dissipativity;    Global attractor;   

DOI  :  10.1016/j.jmaa.2016.12.071

来源: Elsevier

【 摘 要 】

Our aim in this paper is to study the well-posedness and the dissipativity of higher order Cahn-Hilliard equations with dynamic boundary conditions. More precisely, we prove the existence and uniqueness of solutions and the existence of the global attractor. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free