A BGK approximation to nonlinear parabolic initial-boundary value problems

被引：0

作者：

Guarguaglini, FR

Terracina, A

机构：

[1] Univ Aquila, Dipartimento Matemat Pura & Applicata, I-67100 Laquila, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

ASYMPTOTIC ANALYSIS | 2001年 / 28卷 / 01期

关键词：

parabolic nonlinear conservation laws; degenerate parabolic equations; singular perturbation problems; BGK models;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a relaxation semilinear system of conservation laws with source which approximates nonlinear parabolic equations with initial and boundary conditions. The system can be interpreted as a BGK (Bhatnagar, Gross, Krook) model with a finite number of velocities. We prove the well-posedness of the model, a priori estimates and we obtain the convergence towards the solution of the parabolic problem. Moreover we prove a similar result for a weakly degenerate problem.

引用

页码：75 / 89

页数：15

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