Well-posedness of variational problem for Green-Lindsay dynamic thermoelasticity
type: Item
instance of: scholarly article
zbMATH Open document ID: 1363.74016
author: I. A. Chyr
author: H. A. Shynkarenko
publication date: 2016-11-02T00:00:00Z
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 74H15
Mathematics Subject Classification ID: 74H25
zbMATH DE Number: 6647279
zbMATH Keywords: Green-Lindsay problem
zbMATH Keywords: existence of solutions
MaRDI profile type: Publication
full work available at URL: s10958-017-3515-0
OpenAlex ID: W2750433119
cites work: Q4097611
cites work: Q5634306
cites work: Q4139752
cites work: Thermoelasticity
cites work: Thermoelasticity with Finite Wave Speeds
cites work: A generalized dynamical theory of thermoelasticity
cites work: An effective finite element modeling/analysis approach for dynamic thermoelasticity due to second sound effects
DOI: 10.1007/S10958-017-3515-0
title: Well-posedness of variational problem for Green-Lindsay dynamic thermoelasticity
published in: Matematychni Metody ta Fizyko-Mekhanichni Polya
review text: In the paper, based on the initial boundary value problem of Green-Lindsay dynamic thermoelasticity, a corresponding variational problem is formulated in terms of displacements and temperature. The energy equation of the variational problem is used to establish sufficient conditions for regularity of input data of the problem and uniqueness of its solution. The Galerkin semidiscretization by spatial variables is employed to prove the existence of a generalized solution (and as the first step towards the justification of an approximation computation procedure). Furthermore, it is shown that the limit of a sequence of approximations of this semidiscretization is a solution of the variational Green-Lindsay problem.
description: scientific article; zbMATH DE number 6647279