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Anotace knihy

This book is concerned with the study in two dimensions of stationary solutions of u of a complex valued Ginzburg-Landau equation involving a small parameter . Such problems are related to questions occurring in physics, e.g., phase transition phenomena in superconductors and superfluids. The parameter has a dimension of a length which is usually small. Thus, it is of great interest to study the asymptotics as tends to zero. One of the main results asserts that the limit u-star of minimizers u exists. Moreover, u-star is smooth except at a finite number of points called defects or vortices in physics. The number of these defects is exactly the Brouwer degree - or winding number - of the boundary condition. Each singularity has degree one - or as physicists would say, vortices are quantized. The material presented in this book covers mostly original results by the authors. It assumes a moderate knowledge of nonlinear functional analysis, partial differential equations, and complex functions. This book is designed for researchers and graduate students alike, and can be used as a one-semester text. The present softcover reprint is designed to make this classic text available to a wider audience.

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Ginzburg-Landau Vortices
• Autor: Fabrice Bethuel, Haim Brezis, Frederic Helein
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 159
• EAN: 9783319666723
• ISBN: 331966672X
• ID: 16803811
• Nakladatelství: Birkhauser
• Hmotnost: 2993 g
• Rozměry: 235 × 155 × 12 mm
• Datum vydání: 05. October 2017

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