Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance.
type: Item
instance of: scholarly article
title: Convergence rates to viscous shock profile for general scalar viscous conservation laws with large initial disturbance.
zbMATH Open document ID: 1039.35064
author: Kenji Nishihara
author: Huijiang Zhao
published in: Journal of the Mathematical Society of Japan
publication date: 2003-06-30T00:00:00Z
review text: The authors study the convergence rates to viscous shock profile for general scalar viscous conservation laws. For the initial value problem under consideration the disturbance of the initial data is allowed to be large, so that the main theorem obtained in this paper substantially extends the previous results. The method in this paper is based on the \(L\) estimate introduced by \textit{H. Freistühler} and \textit{D. Serre} [Commun. Pure Appl. Math. 51, 291--301 (1998; Zbl 0907.76046); J. Dyn. Differ. Equations 13, 745--755 (2001; Zbl 0993.35063)].
reviewed by: Shuxing Chen
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35L45
Mathematics Subject Classification ID: 35B45
zbMATH DE Number: 1943273
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2969/jmsj/05420447
OpenAlex ID: W2023510938
DOI: 10.2969/JMSJ/05420447
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description: scientific article; zbMATH DE number 1943273