by Bernard Helffer (Author), SørenFournais (Author)
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.
Format: Hardcover
Pages: 324
Edition: 1st Edition.
Publisher: Birkhauser
Published: 16 Jun 2010
ISBN 10: 0817647961
ISBN 13: 9780817647964
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)