Titre :	General Boundary Stabilization of Memory-Type Thermo-Viscoelastic System with Second Sound
Type de document :	document électronique
Auteurs :	Fatima Chedad, Auteur ; Amel Boudiaf, Directeur de thèse
Editeur :	Sétif:UFA1
Année de publication :	2025
Importance :	1 vol (39 f.)
Format :	29 cm
Langues :	Anglais (eng)
Catégories :	Thèses & Mémoires:Mathématique
Mots-clés :	Thermo-Viscoelastic General Decay Second Sound Frictional Damping Convexity
Index. décimale :	510-Mathématique
Résumé :	In this memory, we study the stabilization of a thermo-viscoelastic system with second sound with a weak frictional damping. We show that this type of dissipation is strong enough to maintain the general stability of this system. We introduced suitable conditions on the data which allowed us to prove the general decay of energy. we use the multiplier method such as the energy method, the Lyapunov functional, certain properties of convex functions.
Note de contenu :	Contents GeneralIntroductionii 1 Remindersandsomeusefulinequalities1 1.1Notation................................... 2 1.2LebesgueSpaces Lp( ) . .......................... 3 1.3SobolevSpaces............................... 4 1.4Conceptsoftraceontheboundary.................... 5 1.5GreenÂ’sFormula............................... 7 1.6Convexfunction............................... 8 2 GeneraldecayofenergyforaThermo-viscoelasticsystemwithsecond sound10 2.1StatementofProblem........................... 11 2.2NotationsandPreliminaries........................ 12 2.3MainResults................................ 14 Bibliography39
Côte titre :	MAM/0783

General Boundary Stabilization of Memory-Type Thermo-Viscoelastic System with Second Sound [document électronique] / Fatima Chedad, Auteur ; Amel Boudiaf, Directeur de thèse . - [S.l.] : Sétif:UFA1, 2025 . - 1 vol (39 f.) ; 29 cm.
Langues : Anglais (eng)

Catégories :	Thèses & Mémoires:Mathématique
Mots-clés :	Thermo-Viscoelastic General Decay Second Sound Frictional Damping Convexity
Index. décimale :	510-Mathématique
Résumé :	In this memory, we study the stabilization of a thermo-viscoelastic system with second sound with a weak frictional damping. We show that this type of dissipation is strong enough to maintain the general stability of this system. We introduced suitable conditions on the data which allowed us to prove the general decay of energy. we use the multiplier method such as the energy method, the Lyapunov functional, certain properties of convex functions.
Note de contenu :	Contents GeneralIntroductionii 1 Remindersandsomeusefulinequalities1 1.1Notation................................... 2 1.2LebesgueSpaces Lp( ) . .......................... 3 1.3SobolevSpaces............................... 4 1.4Conceptsoftraceontheboundary.................... 5 1.5GreenÂ’sFormula............................... 7 1.6Convexfunction............................... 8 2 GeneraldecayofenergyforaThermo-viscoelasticsystemwithsecond sound10 2.1StatementofProblem........................... 11 2.2NotationsandPreliminaries........................ 12 2.3MainResults................................ 14 Bibliography39
Côte titre :	MAM/0783