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Vortices in the Magnetic Ginzburg-Landau Model

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Cover of 'Vortices in the Magnetic Ginzburg-Landau Model'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Physical Presentation of the Model—Critical Fields
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    Chapter 3 First Properties of Solutions to the Ginzburg-Landau Equations
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    Chapter 4 The Vortex-Balls Construction
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    Chapter 5 Coupling the Ball Construction to the Pohozaev Identity and Applications
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    Chapter 6 Jacobian Estimate
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    Chapter 7 The Obstacle Problem
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    Chapter 8 Higher Values of the Applied Field
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    Chapter 9 The Intermediate Regime
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    Chapter 10 The Case of a Bounded Number of Vortices
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    Chapter 11 Branches of Solutions
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    Chapter 12 Back to Global Minimization
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    Chapter 13 Asymptotics for Solutions
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    Chapter 14 A Guide to the Literature
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    Chapter 15 Open Problems
Attention for Chapter 3: First Properties of Solutions to the Ginzburg-Landau Equations
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Chapter title
First Properties of Solutions to the Ginzburg-Landau Equations
Chapter number 3
Book title
Vortices in the Magnetic Ginzburg-Landau Model
Published by
Birkhäuser Boston, January 2007
DOI 10.1007/978-0-8176-4550-2_3
Book ISBNs
978-0-8176-4316-4, 978-0-8176-4550-2
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