A bound on the total variation of the conserved quantities for solutions of a general resonant nonlinear balance law

被引：27
作者：
Hong, J [1 ]
Temple, B
机构：
[1] Univ Calif Los Angeles, Dept Math, Los Angeles, CA 90095 USA
[2] Univ Calif Davis, Dept Math, Davis, CA 95616 USA
来源：
SIAM JOURNAL ON APPLIED MATHEMATICS | 2004年 / 64卷 / 03期
关键词：
shock waves; resonance; Glimm scheme; balance laws;
D O I：
10.1137/S0036139902405249
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We introduce a new potential interaction functional and use it to define a new Glimm-type functional that bounds the total variation of the conserved quantities at time t > 0 by the total variation at time t = 0+ in Glimm approximate solutions of a general resonant nonlinear balance law.
引用
收藏
页码：819 / 857
页数：39
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