Moore-Gibson-Thompson theory for thermoelastic dielectrics

We consider the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson (MGT) theory. First, we obtain the system of equations for such a case. Second, we consider the case of a rigid solid and show the existence and the e...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematics and mechanics Vol. 42; no. 2; pp. 309 - 316
Main Authors Fernández, J. R., Quintanilla, R.
Format Journal Article
LanguageEnglish
Published Shanghai Shanghai University 01.02.2021
Springer Nature B.V
Department of Applied Mathematics I,University of Vigo,Campus As Lagoas Marcosende,Vigo 36310,Spain%Department of Mathematics,Polytechnic University of Catalonia,Terrassa 08222,Spain
EditionEnglish ed.
Subjects
Applications of Mathematics
Classical Mechanics
Decay
Dielectrics
Dimensional stability
Fluid- and Aerodynamics
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Partial Differential Equations
74F05
exponential decay
Moore-Gibson-Thompson (MGT) thermoelastic dielectrics
37N15
existence
semigroup
O343.6
Moore-Gibson-Thompson(MGT)thermoelastic dielectrics
semi-group
Online AccessGet full text

Cover

More Information
Summary:We consider the system of equations determining the linear thermoelastic deformations of dielectrics within the recently called Moore-Gibson-Thompson (MGT) theory. First, we obtain the system of equations for such a case. Second, we consider the case of a rigid solid and show the existence and the exponential decay of solutions. Third, we consider the thermoelastic case and obtain the existence and the stability of the solutions. Exponential decay of solutions in the one-dimensional case is also recalled.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-021-2703-9