ENGLISH

Spectral methods in surface superconductivity

By Søren Fournais , Bernard Helffer (auth.)

Book information

Publisher
Birkhäuser Basel
Year
2009
ISBN
9780817647964, 0817647961
DOI
10.1007/978-0-8176-4797-1
Language
english
Format
PDF
Filesize
2 MB (2257826 bytes)
Series
Progress in Nonlinear Differential Equations and Their Applications 77
Edition
1
Pages
324\345
Library
Kolxo3
Time added
2010-07-29 05:14:56
Functional Analysis; Strongly Correlated SystemsSuperconductivity; Partial Differential Equations;

Description

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.

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