Existence of global solutions to the Caginalp phase-field system with dynamic boundary conditions and singular potentials

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:343

Article

Cherfils, Laurence²  Gatti, Stefania³  Miranville, Alain¹ 

[1] Univ Poitiers, Lab Math & Applicat, CNRS, SP2MI,UMR 6086, F-86962 Futuroscope, France

[2] Univ La Rochelle, Lab Math & Applicat, F-17042 La Rochelle, France

[3] Univ Modena & Reggio Emilia, Dipartimento Matemat, I-41100 Modena, Italy

关键词: Caginalp system;    dynamic boundary conditions;    singular potentials;    existence of solutions;   

DOI  :  10.1016/j.jmaa.2008.01.077

来源: Elsevier

【 摘 要 】

Our aim in this article is to prove the global (in time) existence of solutions to a Caginalp phase-field system with dynamic boundary conditions and a singular potential. The main difficulty is to prove that the solutions are strictly separated from the singular values of the potential. This is achieved by studying an auxiliary elliptic problem. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

Free