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.
Rezensionen / Stimmen
From the reviews:
"The book is concerned with the analysis of mathematical problems connected with the theory of superconductivity. The authors consider a standard basic model of superconductivity described by the Ginzburg-Landau functional. . The authors attempt to make the book self-contained, having graduate students and researchers in mind. For this purpose, at the end of the book they add various appendices containing somewhat standard material. . The book concludes with a fairly complete bibliography on the subject." (Yuri A. Kordyukov, Mathematical Reviews, Issue 2011 j)
Reihe
Sprache
Verlagsort
Verlagsgruppe
Illustrationen
2 s/w Abbildungen
XX, 324 p. 2 illus.
Dateigröße
ISBN-13
978-0-8176-4797-1 (9780817647971)
DOI
10.1007/978-0-8176-4797-1
Schweitzer Klassifikation
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
