Download or read book Vortices in the Magnetic Ginzburg-Landau Model written by Etienne Sandier and published by Springer Science & Business Media. This book was released on 2008-05-14 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.