Perturbation of a shock wave
type: Item
instance of: scholarly article
title: Perturbation of a shock wave
zbMATH Open document ID: 0986.35069
DOI: 10.1007/BF02557334
author: I. O. Rasskazov
published in: Theoretical and Mathematical Physics
publication date: 2002-06-16T00:00:00Z
review text: The Cauchy problem is considered for the perturbed Hopf equation \(u_t+u\), \(u_x=\varepsilon f(u)\), \(\varepsilon\to 0\). The solution in the continuity domain can be expended in the standard asymptotic series in integral powers of the small parameter. An asymptotic representation is found for the line of propagation of the shock wave.
Mathematics Subject Classification ID: 35L67
Mathematics Subject Classification ID: 35C20
Mathematics Subject Classification ID: 35B20
zbMATH DE Number: 1465893
zbMATH Keywords: perturbed Hopf equation
zbMATH Keywords: line of propagation
reviewed by: Stefan Balint
MaRDI profile type: Publication
cites work: Q4151274
cites work: Geometrical optics and post shock behavior for nonlinear conservation laws
full work available at URL: https://doi.org/10.1007/bf02557334
OpenAlex ID: W2087266946
description: scientific article; zbMATH DE number 1465893