Boundary stabilization of Viscoelastic plate equation / Nassim BADECHE

Public ISBD Titre : Boundary stabilization of Viscoelastic plate equation Type de document : document électronique Auteurs : Nassim BADECHE, Auteur ; Amel Boudiaf, Directeur de thèse Editeur : Sétif:UFS Année de publication : 2026 Importance : 1 vol (38 f.) Format : 29 cm Note générale : Langues : Anglais (eng) Catégories : Mathématique Mots-clés : Viscoelastic plate equation Viscoelastic damping General decay Résumé : This thesis investigates the asymptotic behavior of a viscoelastic plate system subjected to memory-type damping at its boundaries. By imposing suitable conditions on the initial data, we establish the general decay of the solutions energy. To achieve these results, various mathematical approaches were employed, including the energy method, the construction of Lyapunov functional, and the properties of convex function. Note de contenu : Contents GeneralIntroductionii 1 PreliminariesandRequiredTools1 1.1Notation................................... 2 1.2LebesgueSpaces Lp( ) . .......................... 3 1.3SobolevSpaces............................... 4 1.4Conceptsoftraceontheboundary.................... 5 1.5GreenÂ’sFormula............................... 7 1.6Convexfunction.............................. 8 2 Viscoelasticplateequationwithboundaryfeedback10 2.1StatementofProblem........................... 11 2.2NotationsandPreliminaries........................ 13 2.3MainResults................................ 18 Bibliography38 Côte titre : MAM/0834 Boundary stabilization of Viscoelastic plate equation [document électronique] / Nassim BADECHE, Auteur ; Amel Boudiaf, Directeur de thèse . - [S.l.] : Sétif:UFS, 2026 . - 1 vol (38 f.) ; 29 cm. Langues : Anglais (eng) Catégories : Mathématique Mots-clés : Viscoelastic plate equation Viscoelastic damping General decay Résumé : This thesis investigates the asymptotic behavior of a viscoelastic plate system subjected to memory-type damping at its boundaries. By imposing suitable conditions on the initial data, we establish the general decay of the solutions energy. To achieve these results, various mathematical approaches were employed, including the energy method, the construction of Lyapunov functional, and the properties of convex function. Note de contenu : Contents GeneralIntroductionii 1 PreliminariesandRequiredTools1 1.1Notation................................... 2 1.2LebesgueSpaces Lp( ) . .......................... 3 1.3SobolevSpaces............................... 4 1.4Conceptsoftraceontheboundary.................... 5 1.5GreenÂ’sFormula............................... 7 1.6Convexfunction.............................. 8 2 Viscoelasticplateequationwithboundaryfeedback10 2.1StatementofProblem........................... 11 2.2NotationsandPreliminaries........................ 13 2.3MainResults................................ 18 Bibliography38 Côte titre : MAM/0834

Exemplaires (1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
MAM/0834	MAM/0834	Mémoire	Bibliothèque des sciences	Anglais	Disponible Disponible

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