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
收藏
页码：108 / 120
页数：13
相关论文
共 50 条
12345