Asymptotic Analysis Of A Dynamic Flow Of The Bingham Fluid / Hasna Laouer

Public ISBD Titre : Asymptotic Analysis Of A Dynamic Flow Of The Bingham Fluid Type de document : document électronique Auteurs : Hasna Laouer, Auteur ; Wissam Hafsi, Auteur ; Abdelkader Saadallah, Directeur de thèse Editeur : Sétif:UFS Année de publication : 2025 Importance : 1 vol (41 f.) Format : 29 cm Langues : Anglais (eng) Mots-clés : A priori inequalities Asymptotic approach Bingham fluid Reynolds equation Tresca law Weak solution Résumé : Abstract The aim of this thesis is to study the asymptotic behavior of an incompressible Bingham fluid in a dynamic regime occupying a bounded domain of R3 with nonlinear friction of Tresca type. Firstly, the existence and uniqueness of weak solution is proved. Then we show the estimates for the velocity field and the pressure independently of the parameter ϵ . Finally, we give a specific Reynolds equation associated with variational inequalities and prove the uniqueness. The proof uses the asymptotic behavior when the dimension of the domain tends to zero. Note de contenu : Contents Dedications of Laouer 1 Dedications of Hafsi 2 Gratitudes 3 Table des matières 5 1.1 Tresca type friction laws. . . . . . . . . . . . . . . 8 1.2 Functional spaces . . . . . . . . . . . . . . . . . 8 1.2.1 Some reminders of fonctional analysis . . . 9 1.2.2 Reminders about sobolev spaces. . . . . . . 12 1.3 Lower semi-continuity properties : . . . . . . . . . 16 2 18 2.1 Problem statement and variational formulation . . . 18 2.2 Change of the domain and some estimates . . . . . . 22 2.2.1 Theorem 1. . . . . . . . . . . . . . . . . 25 2.2.2 Proof . . . . . . . . . . . . . . . . . . . 26 Bibliographie 41 Côte titre : MAM/0813 Asymptotic Analysis Of A Dynamic Flow Of The Bingham Fluid [document électronique] / Hasna Laouer, Auteur ; Wissam Hafsi, Auteur ; Abdelkader Saadallah, Directeur de thèse . - [S.l.] : Sétif:UFS, 2025 . - 1 vol (41 f.) ; 29 cm. Langues : Anglais (eng) Mots-clés : A priori inequalities Asymptotic approach Bingham fluid Reynolds equation Tresca law Weak solution Résumé : Abstract The aim of this thesis is to study the asymptotic behavior of an incompressible Bingham fluid in a dynamic regime occupying a bounded domain of R3 with nonlinear friction of Tresca type. Firstly, the existence and uniqueness of weak solution is proved. Then we show the estimates for the velocity field and the pressure independently of the parameter ϵ . Finally, we give a specific Reynolds equation associated with variational inequalities and prove the uniqueness. The proof uses the asymptotic behavior when the dimension of the domain tends to zero. Note de contenu : Contents Dedications of Laouer 1 Dedications of Hafsi 2 Gratitudes 3 Table des matières 5 1.1 Tresca type friction laws. . . . . . . . . . . . . . . 8 1.2 Functional spaces . . . . . . . . . . . . . . . . . 8 1.2.1 Some reminders of fonctional analysis . . . 9 1.2.2 Reminders about sobolev spaces. . . . . . . 12 1.3 Lower semi-continuity properties : . . . . . . . . . 16 2 18 2.1 Problem statement and variational formulation . . . 18 2.2 Change of the domain and some estimates . . . . . . 22 2.2.1 Theorem 1. . . . . . . . . . . . . . . . . 25 2.2.2 Proof . . . . . . . . . . . . . . . . . . . 26 Bibliographie 41 Côte titre : MAM/0813

Exemplaires (1)

Code-barres	Cote	Support	Localisation	Section	Disponibilité
MAM/0813	MAM/0813	Mémoire	Bibliothèque des sciences	Anglais	Disponible Disponible

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