A note on front tracking for the Keyfitz-Kranzer system

被引:2
|
作者
Risebro, N. H. [1 ]
Weber, F. [1 ]
机构
[1] Univ Oslo, CMA, POB 1053, N-0316 Oslo, Norway
关键词
Conservation law; Nonstrictly hyperbolic; Keyfitz-Kranzer system; Front tracking; Entropy solution; Convergence; NONSTRICTLY HYPERBOLIC SYSTEM; GENERALIZED ENTROPY SOLUTIONS; CONSERVATION-LAWS; CAUCHY-PROBLEM; CHROMATOGRAPHY; EQUATIONS;
D O I
10.1016/j.jmaa.2013.05.026
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A front tracking method is developed for the n x n symmetric Keyfitz-Kranzer system and convergence of the approximations to the strong generalized entropy solution of the system as defined by Panov [E.Y. Panov, On the theory of generalized entropy solutions of the Cauchy problem for a class of nonstrictly hyperbolic systems of conservation laws, Sb. Math. 191 (2000) 121-150] is proved. We also present numerical examples and compare the front tracking approximation with the approximations computed by two finite difference upwind schemes. (c) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码:190 / 199
页数:10
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