Convergence of the viscosity solutions for a viscoelastic model
type: Item
instance of: scholarly article
title: Convergence of the viscosity solutions for a viscoelastic model
zbMATH Open document ID: 0967.35141
DOI: 10.1016/S0362-546X(98)00353-8
author: Changjiang Zhu
published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods
publication date: 2000-08-15T00:00:00Z
review text: The existence of global weak solutions for a one-dimensional viscoelastic model is proven. Using the theory of singular perturbation of ordinary differential equations, a special entropy flux pair of Lax type is constructed, in which all terms of progression depend on a single variable. A convergence theorem for the method of artifical viscosity is applied to the Cauchy problem which describes the property of the considered viscoelastic model.
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 35D05
Mathematics Subject Classification ID: 49L25
zbMATH DE Number: 1491655
zbMATH Keywords: viscoelastic model
zbMATH Keywords: ordinary differential equation
zbMATH Keywords: singular perturbation
zbMATH Keywords: entropy flux
zbMATH Keywords: method of artifical viscosity
zbMATH Keywords: Cauchy problem
reviewed by: István Ecsedi
MaRDI profile type: Publication
Wikidata QID: Q127646414
description: scientific article; zbMATH DE number 1491655