Applied Mathematics in Tunisia. ([2015])

• Record Type: Book
• Further Information: Note: Aref Jeribi, Mohamed Ali Hammami, Afif Masmoudi, editors.
• Editors: Jeribi, Aref; Hammami, Mohamed Ali; Masmoudi, Afif
• Other Names: International Conference on Advances in Applied Mathematics
• Contents: Preface; Acknowledgements; Contents; List of Contributors; Polaroid operators and Weyl type theorems; 1 Introduction; 2 Definitions and preliminary results ; 3 Examples of polaroid operators; 4 Weyl type theorems; References; On non self-adjoint spectral problems occurringin superconductivity; 1 The Ginzburg-Landau model for superconductivity; 1.1 The Ginzburg-Landau functional; 1.2 Minimizers and Ginzburg-Landau equations; 1.3 Basic properties for solutions of the Ginzburg-Landauequations; 1.4 The Giorgi-Phillips Theorem for minimizers; 2 Time-Dependent Ginzburg Landau I: models. 2.1 The model in superconductivity2.2 From Ginzburg-Landau to TDGL; 2.2.1 Stationary normal solutions: first analysis; 2.3 Special situation: affine; 2.4 The results by Almog-Helffer-Pan AHP1; 2.5 A simplified model : no magnetic field; 2.6 Pseudo-spectra and semi-groups; 2.7 The complex Airy operator in R+; 2.8 Higher dimension problems relative to Airy ; 3 Time-Dependent Ginzburg-Landau equation II: general case; 3.1 Boundary conditions; 3.2 Stationary normal solutions; 3.3 The question of stability; 3.4 A non self-adjoint operator; 3.5 Large domains [omage]R. 3.6 The Giorgi-Phillips type theorem for stationary solutionsReferences; Fixed Point Theory for 1-Set Contractions: a Survey; 1 Introduction; 2 Nonexpansive mappings; 2.1 Generalities; 2.2 Structure of domain; 2.3 Geometry of space; 2.4 Recent results; 2.5 Demi-closedness and closedness of the range; 2.6 Back to approximation methods; 2.7 Nonlinear alternatives; 2.8 Boundary conditions; 2.8.1 The Leray-Schauder and the inward conditions; 2.8.2 The interior condition; 2.8.3 The Furi-Pera condition; 3 1-set contractions; 3.1 Measure of noncompactness and related mappings. 3.2 First results with boundary conditions3.3 Historical review; 3.4 Recent development; 4 The weak topology; 4.1 Introduction; 4.2 The weak MNC; 4.3 Fixed point theorems; 5 Sum of operators; 5.1 Introduction; 5.2 Recent contributions; 6 Applications; 7 Conclusion; References; Spectral results on quantum waveguides; 1 Introduction; 2 The model; 2.1 The Hamiltonian; 2.2 Some known facts; 2.3 Preliminary: Cylindrical coordinates; 3 Results on discrete spectrum; 3.1 One Neumann Window; 3.2 Two Neumann Windows; 3.3 Effect of Aharonov-Bohm filed; 3.3.1 The model; References. Multi-field Modeling of Nonsmooth Problems of Continuum Mechanics, Differential Mixed Variational Inequalities and Their Stability1 Introduction; 2 Multiple field modelling of a nonsmooth heat conduction problem; 3 Multiple field modelling of frictionless unilateral contact problems in nonlinear elasticity; 4 Multiple field modelling in quasistatic elastoplasticity and differential mixed variational inequalities; 4.1 Primal formulation; 4.2 A mixed formulation; 5 Differential mixed variational inequalities and their stability.
• Publisher Details: Cham : Springer
• Publication Date: 2015
• Copyright Date: 2015
• Extent: 1 online resource
• Subjects: 515; Mathematics; Mathematical analysis -- Congresses; MATHEMATICS -- Calculus; MATHEMATICS -- Mathematical Analysis; Mathematical analysis; Mathematics -- Applied; Mathematics -- Number Systems; Mathematics -- Differential Equations; Optimization; Numerical analysis; Differential calculus & equations; Operator theory; Mathematical optimization; Numerical analysis; Differential Equations; Differential equations, partial; Mathematics -- Functional Analysis; Functional analysis & transforms; Electronic books; Conference papers and proceedings
• Languages: English
• ISBNs: 9783319180410
• Related ISBNs: 331918041X; 9783319180403; 3319180401; 9783319180403
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed October 8, 2015).
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.