Fournais / Helffer Spectral Methods in Surface Superconductivity

Erscheinungsjahr 2010
ISBN: 978-0-8176-4797-1
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 77, 324 Seiten, eBook

Reihe: Progress in Nonlinear Differential Equations and Their Applications

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. 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.

Zielgruppe

Graduate

Autoren/Hrsg.

Fournais, Søren

Helffer, Bernard

Inhaltsverzeichnis

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