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Ginzburg-Landau Vortices

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Cover of 'Ginzburg-Landau Vortices'

Table of Contents

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    Book Overview
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    Chapter 1 Energy estimates for S-valued maps
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    Chapter 2 The lower bound for the energy of S-valued maps on Perforated domains
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    Chapter 3 Some basic estimateds for UE
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    Chapter 4 Towards locating the singularties: bad discs and good discs
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    Chapter 5 An upper bound for the energy of UE away for the singularities
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    Chapter 6 UEn Converges:U* is born!
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    Chapter 7 U* Coinclides with THE canonical harmonic map having singularites(aj)
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    Chapter 8 The configuration (aj) minimizes the renormalized energy W
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    Chapter 9 Some additional properties of UE
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    Chapter 10 Non-minimizing solutions of the Ginzburg-Landau equation
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    Chapter 11 Open problems
Attention for Chapter 6: UEn Converges:U* is born!
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Chapter title
UEn Converges:U* is born!
Chapter number 6
Book title
Ginzburg-Landau Vortices
Published by
Birkhäuser, Cham, January 2017
DOI 10.1007/978-3-319-66673-0_6
Book ISBNs
978-3-31-966672-3, 978-3-31-966673-0
Authors

Fabrice Bethuel, Haim Brezis, Frederic Helein

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