TY  - BOOK
AU  - Fournais,Søren
AU  - Helffer,Bernard
ED  - SpringerLink (Online service)
TI  - Spectral Methods in Surface Superconductivity
T2  - Progress in Nonlinear Differential Equations and Their Applications
SN  - 9780817647971
U1  - 515.7 23
PY  - 2009///
CY  - Boston
PB  - Birkhäuser Boston
KW  - MATHEMATICS
KW  - FUNCTIONAL ANALYSIS
KW  - DIFFERENTIAL EQUATIONS, PARTIAL
KW  - FUNCTIONS, SPECIAL
KW  - STRONGLY CORRELATED SYSTEMS, SUPERCONDUCTIVITY
KW  - PARTIAL DIFFERENTIAL EQUATIONS
KW  - SPECIAL FUNCTIONS
N1  - Linear Analysis -- Spectral Analysis of Schrödinger Operators -- Diamagnetism -- Models in One Dimension -- Constant Field Models in Dimension 2: Noncompact Case -- Constant Field Models in Dimension 2: Discs and Their Complements -- Models in Dimension 3: or
N2  - During the past decade, the mathematics of superconductivity has been the subject of intense activity. This book examines in detail the nonlinear Ginzburg-Landau functional, the model most commonly used in the study of superconductivity. Specifically covered are cases in the presence of a strong magnetic field and with a sufficiently large Ginzburg-Landau parameter kappa. Key topics and features of the work: * Provides a concrete introduction to techniques in spectral theory and partial differential equations * Offers a complete analysis of the two-dimensional Ginzburg-Landau functional with large kappa in the presence of a magnetic field * Treats the three-dimensional case thoroughly * Includes open problems Spectral Methods in Surface Superconductivity is intended for students and researchers with a graduate-level understanding of functional analysis, spectral theory, and the analysis of partial differential equations. The book also includes an overview of all nonstandard material as well as important semi-classical techniques in spectral theory that are involved in the nonlinear study of superconductivity
UR  - http://dx.doi.org/10.1007/978-0-8176-4797-1
ER  -