Well-posedness of a family of degenerate parabolic mixed equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:498

Article

Acevedo, Ramiro¹  Gomez, Christian¹  Lopez-Rodriguez, Bibiana² 

[1] Univ Cauca, Dept Matemat, Popayan, Colombia

[2] Univ Nacl Colombia, Sede Medellin, Escuela Matemat, Medellin, Colombia

关键词: Well-posedness;    Time dependent problems;    Parabolic degenerate equations;    Mixed equations;    Stokes problem;    Eddy current model;   

DOI  :  10.1016/j.jmaa.2020.124903

来源: Elsevier

【 摘 要 】

In this study, we present an abstract framework for analyzing a family of linear degenerate parabolic mixed equations. We combine the theory of degenerate parabolic equations with the classical Babuska-Brezzi theory for linear mixed stationary equations to deduce sufficient conditions to prove the well-posedness of the problem. Finally, we illustrate the application of the abstract framework based on examples from physical science applications, including fluid dynamics models and electromagnetic problems. (C) 2020 Elsevier Inc. All rights reserved.

【 授权许可】

Free