A discrete BGK approximation for strongly degenerate parabolic problems with boundary conditions

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:202

Article

Guarguaglini, FR ; Milisic, V ; Terracina, A

关键词: entropy solutions;    strongly degenerate parabolic equations;    singular perturbation problems;    BGK models;   

DOI  :  10.1016/j.jde.2004.03.008

来源: Elsevier

【 摘 要 】

We consider a class of BGK systems with a finite number of velocities, depending on a positive relaxation parameter, that approximate strongly degenerate hyperbolic parabolic equations with initial boundary conditions. We prove a priori estimates for the solutions of the systems, showing that these functions converge towards the entropy solutions of strongly degenerate problems when the relaxation parameter goes to zero. (C) 2004 Elsevier Inc. All rights reserved.

【 授权许可】

Free