On dynamics of viscoelastic multidimensional medium with variable boundary
type: Item
instance of: scholarly article
title: On dynamics of viscoelastic multidimensional medium with variable boundary
zbMATH Open document ID: 1034.35141
DOI: 10.1155/S1085337502203097
published in: Abstract and Applied Analysis
publication date: 2002-10-29T00:00:00Z
full work available at URL: https://eudml.org/doc/50679
review text: This paper is about a theorem of uniqueness and existence, local in time, for the solution of an initial boundary value problem of a system of equations that the author say to be of interest in the modelling of viscoelastic materials. The theorem is established in classes of summable functions under suitable conditions on the data and variable boundaries. The mechanical issues of the problem are not clearly presented and informations on this side are not easy to be obtained also by using the references. The author claims that the model is of interest for a viscous continuous medium with a memory along the particles. It is not clear if the elastic part of the model is frame-indifferent (see the generalization proposed after the introduction of the isotropic representation formula (1.7)) where the left Cauchy-Green tensor instead of the right one is used.
reviewed by: Giuseppe Saccomandi
Mathematics Subject Classification ID: 35Q72
Mathematics Subject Classification ID: 35Q99
Mathematics Subject Classification ID: 74B20
zbMATH DE Number: 1821301
zbMATH Keywords: viscoelastic medium
zbMATH Keywords: variable boundary
zbMATH Keywords: initial-boundary value problem
author: V. P. Orlov
MaRDI profile type: Publication
OpenAlex ID: W1987147243
description: scientific article; zbMATH DE number 1821301