Vortices in the magnetic Ginzburg-Landau model
Author(s)
Bibliographic Information
Vortices in the magnetic Ginzburg-Landau model
（Progress in nonlinear differential equations and their applications / editor, Haim Brezis, v. 70）
Birkhäuser Boston, c2007
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
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Note
Includes bibliographical references (p. [303]-319) and index
Description and Table of Contents
Description
This book presents the mathematical study of vortices of the two-dimensional Ginzburg-Landau model, an important phenomenological model used to describe superconductivity. The vortices, identified as quantized amounts of vorticity of the superconducting current localized near points, are the objects of many observational and experimental studies, both past and present. The Ginzburg-Landau functionals considered include both the model cases with and without a magnetic field. The book acts a guide to the various branches of Ginzburg-Landau studies, provides context for the study of vortices, and presents a list of open problems in the field.
Table of Contents
Introduction (Mathematical and physical presentation of the problem).- The vortex-balls construction.- Optimal energy estimates.- The first critical field.- Convergence to the obstacle problem.- Asymptotics of critical points.- Bibliography.- Index.
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