Titre :	Transmission Problem Governed By The Bilaplacien
Type de document :	document électronique
Auteurs :	Nassim Messaoudi, Auteur ; Abdelkader Saadallah, Directeur de thèse
Editeur :	Sétif:UFS
Année de publication :	2025
Importance :	1 vol (39 f.)
Format :	29 cm
Langues :	Anglais (eng)
Mots-clés :	Transmission Problem Governed Bilaplacien
Note de contenu :	Contents 1 Preliminaries on functional analysis...........10 .1 Maximal Monotone operators...............................10 1.2 Sobolev spaces......................................................12 1.2.1 Basic definitions.................................................12 1.2.2 Density result and trace theorems in a polygon...15 1.2.3 Green’s formula..........................................20 2 Transmission problem governed by the Bilaplacien operator 2.1 Notations..............................................................21 2.2 Problem statement...............................................22 2.3 Transformation of the problem..............................24 2.3.1 Conversion to polar coordinates........................24 2.3.2 Separation of variables in polar coordinates......27 2.3.3 Boundary conditions...........................................28 2.4 Transcendental equation governing singular Behavior......29 2.5 Conclusion and perspectives..............................32 3 Regularity of Bilaplacien solutions in the homogeneous case 3.1 Transcendental equations governing singular behavior....................33 3.2 Singular solution of the problem in the homogeneous case......................34
Côte titre :	MAM/0811

Transmission Problem Governed By The Bilaplacien [document électronique] / Nassim Messaoudi, Auteur ; Abdelkader Saadallah, Directeur de thèse . - [S.l.] : Sétif:UFS, 2025 . - 1 vol (39 f.) ; 29 cm.
Langues : Anglais (eng)

Mots-clés :	Transmission Problem Governed Bilaplacien
Note de contenu :	Contents 1 Preliminaries on functional analysis...........10 .1 Maximal Monotone operators...............................10 1.2 Sobolev spaces......................................................12 1.2.1 Basic definitions.................................................12 1.2.2 Density result and trace theorems in a polygon...15 1.2.3 Green’s formula..........................................20 2 Transmission problem governed by the Bilaplacien operator 2.1 Notations..............................................................21 2.2 Problem statement...............................................22 2.3 Transformation of the problem..............................24 2.3.1 Conversion to polar coordinates........................24 2.3.2 Separation of variables in polar coordinates......27 2.3.3 Boundary conditions...........................................28 2.4 Transcendental equation governing singular Behavior......29 2.5 Conclusion and perspectives..............................32 3 Regularity of Bilaplacien solutions in the homogeneous case 3.1 Transcendental equations governing singular behavior....................33 3.2 Singular solution of the problem in the homogeneous case......................34
Côte titre :	MAM/0811