1.

Record Nr.

UNINA9910817005103321

Titolo

Ginzburg-Landau vortices / / Haïm Brezis, Tatsien Li

Pubbl/distr/stampa

Beijing, China, : Higher Education Press

Singapore, : World Scientific Publishing, Co., c2005

ISBN

1-281-89694-2

9786611896942

981-270-118-4

Edizione

[1st ed.]

Descrizione fisica

1 online resource (196 p.)

Collana

Series in contemporary applied mathematics ; ; 5

Altri autori (Persone)

BrézisH (Haim)

LiDaqian

Disciplina

532.0595

Soggetti

Singularities (Mathematics)

Mathematical physics

Superconductors - Mathematics

Superfluidity - Mathematics

Differential equations, Nonlinear - Numerical solutions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"The "Ginzburg-Landau Vortices"  School and Symposium  ... was held during November 18-19, 2002 in Fudan University, Shanghai, China"--P. v.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

Preface; Contents; Bifurcation Problems for Ginzburg-Landau Equations and Applications to Bose-Einstein Condensates; Vortex Analysis of the Ginzburg-Landau Model of Superconductivity; On Singular Perturbation Problems Involving a "Circular-Well" Potential; Existence Results on Ginzburg-Landau Equations; A Survey on Ginzburg-Landau Vortices of Superconducting Thin Films*; On the Hydro-dynamic Limit of Ginzburg-Landau Wave Vortices; Singular Sets of the Landau-Lifshitz System*; Analysis of Ginzburg-Landau Models for Type I Superconductivity*; Ferromagnets and Landau-Lifshitz Equation

Sommario/riassunto

The Ginzburg-Landau equation as a mathematical model of superconductors has become an extremely useful tool in many areas of physics where vortices carrying a topological charge appear. The remarkable progress in the mathematical understanding of this



equation involves a combined use of mathematical tools from many branches of mathematics. The Ginzburg-Landau model has been an amazing source of new problems and new ideas in analysis, geometry and topology. This collection will meet the urgent needs of the specialists, scholars and graduate students working in this area or related areas.