Existence, uniqueness and regularity of the first boundary-initial value problem for hyperbolic equations system of the thermal stresses theory for temperature-rate-dependent solids
type: Item
instance of: scholarly article
title: Existence, uniqueness and regularity of the first boundary-initial value problem for hyperbolic equations system of the thermal stresses theory for temperature-rate-dependent solids
zbMATH Open document ID: 0628.73008
published in: Bulletin of the Polish Academy of Sciences. Technical Sciences
publication date: 1987-01-01T00:00:00Z
review text: Existence, uniqueness and regularity theorems for a particular displacement-temperature initial-boundary value problem of linear homogeneous isotropic temperature-rate dependent thermoelasticity in which Fourier's law is not violated are given. It is assumed that the region under consideration is bounded, thermomechanical coupling can be ignored, and the displacement-temperature boundary conditions are homogeneous. The theorems sound like those obtained by the author e.g. ibid. 34, 447-460 (1986; Zbl 0621.73004).
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 35A05
Mathematics Subject Classification ID: 35B30
Mathematics Subject Classification ID: 74A15
Mathematics Subject Classification ID: 35L85
zbMATH DE Number: 4022711
zbMATH Keywords: weak solution
zbMATH Keywords: Faedo-Galerkin method
zbMATH Keywords: Sobolev spaces
zbMATH Keywords: regularity theorems
zbMATH Keywords: displacement-temperature initial-boundary value problem
zbMATH Keywords: linear homogeneous isotropic temperature-rate dependent thermoelasticity
author: Jerzy August Gawinecki
reviewed by: Józef Ignaczak
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4022711