Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance

被引：15
作者：
Nishihara, K
Zhao, HJ
机构：
[1] Waseda Univ, Sch Polit Sci & Econ, Shinjuku Ku, Tokyo 1698050, Japan
[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Young Scientist Lab Math Phys, Wuhan 430071, Peoples R China
来源：
JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2002年 / 54卷 / 02期
关键词：
viscous shock profile; convergence rate; large initial disturbance;
D O I：
10.2969/jmsj/05420447
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is concerned with the convergence rates to viscous shock profile for general scalar viscous conservation laws. Compared with former results in this direction, the main novelty in this paper lies in the fact that the initial disturbance can be chosen arbitrarily large, This answers positively an open problem proposed by A. Matsumura in [12] and K. Nishihara in [16]. Our analysis is based on the L-1-stability results obtained by H. Freistuhler and D. Serre in [1].
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收藏
页码：447 / 466
页数：20
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