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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Bibliographic Details
Main Authors: M. Marin, S. Vlase, C. Carstea
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:Boundary Value Problems
Subjects:
Online Access:https://doi.org/10.1186/s13661-021-01547-0
Description
Summary: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.
ISSN:1687-2770