Justification of nonlinear geometric optics for a system of conservation laws
type: Item
instance of: scholarly article
title: Justification of nonlinear geometric optics for a system of conservation laws
zbMATH Open document ID: 0914.35078
DOI: 10.1215/S0012-7094-97-08710-X
published in: Duke Mathematical Journal
publication date: 1997-06-24T00:00:00Z
review text: Systems of conservation laws \(u_t+f(u)_x=0\) with the initial condition of the type \[ u_i(0,x)=\varepsilon h_i\left( x,{\psi_i (x)\over \varepsilon}\right) \] are considered in particular in one space dimension. The author proves propagation theorems and estimates, deals with the conditions on the phase \(\psi\) and gives global existence theorem with the asymptotic estimate.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 78A05
zbMATH DE Number: 1026540
zbMATH Keywords: propagation theorems
zbMATH Keywords: global existence theorem
zbMATH Keywords: asymptotic estimate
author: Christophe Cheverry
reviewed by: Alexandr Doktor
MaRDI profile type: Publication
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full work available at URL: s0012-7094-97-08710-x
OpenAlex ID: W82307989
description: scientific article; zbMATH DE number 1026540