On the well-posedness of entropy solutions to conservation laws with a zero-flux boundary condition

被引：25

作者：

Burger, Raimund

Frid, Hermano

Karlsen, Kenneth H.

机构：

[1] Univ Concepcion, Fac Ciencias Fis & Matemat, Dept Ingn Matemat, Concepcion, Chile

[2] Inst Matematica Pura & Aplicada, BR-22460320 Rio De Janeiro, Brazil

[3] Univ Oslo, Dept Math, CMA, N-0316 Oslo, Norway

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2007年 / 326卷 / 01期

关键词：

conservation law; well-posedness; entropy solution; zero-flux boundary condition;

D O I：

10.1016/j.jmaa.2006.02.072

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a zero-flux type initial-boundary value problem for scalar conservation laws with a genuinely nonlinear flux. We suggest a notion of entropy solution for this problem and prove its well-posedness. The asymptotic behavior of entropy solutions is also discussed. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：108 / 120

页数：13

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