Solutions globales \((-\infty<t<+\infty)\) des systèmes paraboliques de lois de conservation. (Global solutions \((-\infty<t<+\infty)\) of parabolic systems of conservation laws.)
type: Item
instance of: scholarly article
title: Solutions globales \((-\infty<t<+\infty)\) des systèmes paraboliques de lois de conservation. (Global solutions \((-\infty<t<+\infty)\) of parabolic systems of conservation laws.)
zbMATH Open document ID: 0917.35076
author: Denis Serre
publication date: 1998-11-09T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/75309
review text: The author deals with the global solution and a priori estimates for the parabolic approximation \(u_t+ f(u)_x= \varepsilon u_{xx}\) of a system of hyperbolic conservation laws. Besides the initial value problem, the mixed problem \(x>0\) is also discussed.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35L50
Mathematics Subject Classification ID: 35L67
zbMATH DE Number: 1220353
zbMATH Keywords: viscous shock waves
zbMATH Keywords: boundary layers
zbMATH Keywords: initial value problem
zbMATH Keywords: mixed problem
reviewed by: Alexandr Doktor
MaRDI profile type: Publication
OpenAlex ID: W2110530798
cites work: First order quasilinear equations with boundary conditions
cites work: Q3746223
cites work: Q3769300
cites work: Q4146022
cites work: Convergence of approximate solutions to conservation laws
cites work: Boundary conditions for nonlinear hyperbolic systems of conservation laws
cites work: ?1 stability of shock waves in scalar viscous conservation laws
cites work: Study of limit conditions for a strictly hyperbolic system via parabolic approximation
cites work: Q4312207
cites work: Viscous limits for piecewise smooth solutions to systems of conservation laws
DOI: 10.5802/AIF.1649
published in: Annales de l’institut Fourier
description: scientific article; zbMATH DE number 1220353