Boundary layers in parabolic perturbations of scalar conservation laws
type: Item
instance of: scholarly article
title: Boundary layers in parabolic perturbations of scalar conservation laws
zbMATH Open document ID: 1065.35032
author: Hermano Frid
author: V. V. Shelukhin
published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik
publication date: 2004-12-16T00:00:00Z
review text: This paper is concerned with the boundary layer thickness for parabolic perturbations of a scalar conservation law, and addresses the case where the vanishing viscosity limit solution is identically zero. To make the presentation self contained, existence and uniqueness of entropy solutions for the initial boundary value problem (IBVP) involving the scalar conservation law are studied; indeed, a solution to this problem can be obtained as the limit of a function which is the solution of the associated parabolic perturbation of this IBVP problem. Finally, the paper addresses an important question of estimating the boundary layer thickness.
Mathematics Subject Classification ID: 35B25
Mathematics Subject Classification ID: 35K60
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B40
zbMATH DE Number: 2123171
zbMATH Keywords: boundary layer thickness
zbMATH Keywords: vanishing viscosity limit solution
MaRDI profile type: Publication
full work available at URL: s00033-003-1094-z
OpenAlex ID: W2089009911
DOI: 10.1007/S00033-003-1094-Z
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description: scientific article; zbMATH DE number 2123171