Spectral Methods in Surface Superconductivity [electronic resource] / by Søren Fournais, Bernard Helffer.
Contributor(s): Helffer, Bernard [author.] | SpringerLink (Online service)Material type: TextSeries: Progress in Nonlinear Differential Equations and Their Applications: 77Publisher: Boston : Birkhäuser Boston, 2010Description: XX, 324 p. 2 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9780817647971Subject(s): Mathematics | Mathematical analysis | Analysis (Mathematics) | Functional analysis | Partial differential equations | Special functions | Superconductivity | Superconductors | Electronics | Microelectronics | Mathematics | Analysis | Functional Analysis | Electronics and Microelectronics, Instrumentation | Strongly Correlated Systems, Superconductivity | Partial Differential Equations | Special FunctionsAdditional physical formats: Printed edition:: No titleDDC classification: 515 LOC classification: QA299.6-433Online resources: Click here to access online
|Item type||Current location||Collection||Call number||Status||Date due||Barcode||Item holds|
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.
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.