Existence and uniqueness of a finite energy solution for the mixed value problem of porous thermoelastic bodies

Abstract We consider the mixed problem with boundary and initial data in thermoelasticity of porous bodies with dipolar structure. By generalizing some known results developed by Dafermos in a more simple case of the classical theory of elasticity, we prove new theorems in which we address the issue...

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Main Authors:	M. Marin, S. Vlase, C. Carstea
Format:	Article
Language:	English
Published:	SpringerOpen 2021-08-01
Series:	Boundary Value Problems
Subjects:	Dipolar bodies Pores Solution with finite energy Existence of solution Uniqueness of solution
Online Access:	https://doi.org/10.1186/s13661-021-01547-0

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spelling	doaj-e2a291ae439e4bf0a6889d9a6937e0592021-08-22T11:12:43ZengSpringerOpenBoundary Value Problems1687-27702021-08-012021111410.1186/s13661-021-01547-0Existence and uniqueness of a finite energy solution for the mixed value problem of porous thermoelastic bodiesM. Marin0S. Vlase1C. Carstea2Department of Mathematics and Computer Science, Transilvania University of BrasovDepartment of Mechanical Engineering, Transilvania University of BrasovDepartment of Air Surveillance and Defense, “Henry Coanda” Air Force AcademyAbstract We consider the mixed problem with boundary and initial data in thermoelasticity of porous bodies with dipolar structure. By generalizing some known results developed by Dafermos in a more simple case of the classical theory of elasticity, we prove new theorems in which we address the issues regarding the uniqueness and existence of a solution with finite energy of the respective problem after we define this type of solution.https://doi.org/10.1186/s13661-021-01547-0Dipolar bodiesPoresSolution with finite energyExistence of solutionUniqueness of solution
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	M. Marin S. Vlase C. Carstea
spellingShingle	M. Marin S. Vlase C. Carstea Existence and uniqueness of a finite energy solution for the mixed value problem of porous thermoelastic bodies Boundary Value Problems Dipolar bodies Pores Solution with finite energy Existence of solution Uniqueness of solution
author_facet	M. Marin S. Vlase C. Carstea
author_sort	M. Marin
title	Existence and uniqueness of a finite energy solution for the mixed value problem of porous thermoelastic bodies
title_short	Existence and uniqueness of a finite energy solution for the mixed value problem of porous thermoelastic bodies
title_full	Existence and uniqueness of a finite energy solution for the mixed value problem of porous thermoelastic bodies
title_fullStr	Existence and uniqueness of a finite energy solution for the mixed value problem of porous thermoelastic bodies
title_full_unstemmed	Existence and uniqueness of a finite energy solution for the mixed value problem of porous thermoelastic bodies
title_sort	existence and uniqueness of a finite energy solution for the mixed value problem of porous thermoelastic bodies
publisher	SpringerOpen
series	Boundary Value Problems
issn	1687-2770
publishDate	2021-08-01
description	Abstract We consider the mixed problem with boundary and initial data in thermoelasticity of porous bodies with dipolar structure. By generalizing some known results developed by Dafermos in a more simple case of the classical theory of elasticity, we prove new theorems in which we address the issues regarding the uniqueness and existence of a solution with finite energy of the respective problem after we define this type of solution.
topic	Dipolar bodies Pores Solution with finite energy Existence of solution Uniqueness of solution
url	https://doi.org/10.1186/s13661-021-01547-0
work_keys_str_mv	AT mmarin existenceanduniquenessofafiniteenergysolutionforthemixedvalueproblemofporousthermoelasticbodies AT svlase existenceanduniquenessofafiniteenergysolutionforthemixedvalueproblemofporousthermoelasticbodies AT ccarstea existenceanduniquenessofafiniteenergysolutionforthemixedvalueproblemofporousthermoelasticbodies
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Existence and uniqueness of a finite energy solution for the mixed value problem of porous thermoelastic bodies

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