Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance | |
Nishihara, K; Zhao, HJ | |
刊名 | JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN
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2002-04-01 | |
卷号 | 54期号:2页码:447-466 |
关键词 | viscous shock profile convergence rate large initial disturbance |
英文摘要 | 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]. |
WOS标题词 | Science & Technology ; Physical Sciences |
类目[WOS] | Mathematics |
研究领域[WOS] | Mathematics |
关键词[WOS] | ASYMPTOTIC STABILITY ; TRAVELING WAVES |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000175569900010 |
公开日期 | 2015-12-08 |
内容类型 | 期刊论文 |
源URL | [http://ir.wipm.ac.cn/handle/112942/8699] ![]() |
专题 | 武汉物理与数学研究所_2011年以前论文发表(包括2011年) |
作者单位 | 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 |
推荐引用方式 GB/T 7714 | Nishihara, K,Zhao, HJ. Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance[J]. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN,2002,54(2):447-466. |
APA | Nishihara, K,&Zhao, HJ.(2002).Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance.JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN,54(2),447-466. |
MLA | Nishihara, K,et al."Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance".JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 54.2(2002):447-466. |
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