Higher-order Cahn-Hilliard equations with dynamic boundary conditions

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• 作者：Rosa Maria Mininni^a ; ^{rosamaria.mininni@uniba.it} ; Alain Miranville^b ; ^{Alain.Miranville@math.univ-poitiers.fr} ; Silvia Romanelli^a ; ^{silvia.romanelli@uniba.it}
• 关键词：Cahn&ndash ; Hilliard equation ; Higher-order equations ; Dynamic boundary conditions ; Well-posedness ; Dissipativity ; Global attractor
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2017
• 出版时间：15 May 2017
• 年：2017
• 卷：449
• 期：2
• 页码：1321-1339
• 全文大小：407 K
• 卷排序：449

文摘

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.