Decay estimation in nonlinear hyperbolic system of conservation laws

被引:0
|
作者
Jiang, Zaihong [1 ]
Wang, Ying [2 ,3 ]
机构
[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua, Peoples R China
[2] Univ Sci & Technol China, Joint Adv Res Ctr, Suzhou, Peoples R China
[3] City Univ Hong Kong, Suzhou, Peoples R China
关键词
Conservation laws; Decay estimation; Glimm functional; GENERAL SYSTEMS; WAVES;
D O I
10.1016/j.jmaa.2010.12.017
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper we study some decay estimates in nonlinear hyperbolic system of conservation laws. This research is not only interesting in itself but also crucial in studying the large time behavior problem. By introducing a proper Glimm functional, we obtain some useful decay estimates which are proved helpful in obtaining decay rates of the admissible solutions to nonlinear hyperbolic conservation laws as t -> infinity. (c) 2010 Elsevier Inc. All rights reserved.
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页码:863 / 873
页数:11
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