General Boundary Stabilization of Memory-Type Thermo-Viscoelastic System with Second Sound / Fatima Chedad

Public ISBD 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

Exemplaires (1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
MAM/0783	MAM/0783	Mémoire	Bibliothèque des sciences	Anglais	Disponible Disponible

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