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Small energy Ginzburg-Landau minimizers in ${\mathbb R}^3$ Shafrir, Itai
Description
We study global solutions $u:{\mathbb R}^3\to{\mathbb R}^2$ of the Ginzburg-Landau equation $-\Delta u=(1-|u|^2)u$ which are local minimizers in the sense of De Giorgi.
We prove that a local minimizer satisfying the condition $\liminf_{R\to\infty}\frac{E(u;B_R)}{R\ln R}<2\pi$ must be constant. The main tool is a new sharp
$\eta$-ellipticity result for minimizers in dimension three that might
be of independent interest. This is a joint work with Etienne Sandier (Universit\'e Paris-Est).
Item Metadata
| Title |
Small energy Ginzburg-Landau minimizers in ${\mathbb R}^3$
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| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2017-04-04T17:10
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| Description |
We study global solutions $u:{\mathbb R}^3\to{\mathbb R}^2$ of the Ginzburg-Landau equation $-\Delta u=(1-|u|^2)u$ which are local minimizers in the sense of De Giorgi.
We prove that a local minimizer satisfying the condition $\liminf_{R\to\infty}\frac{E(u;B_R)}{R\ln R}<2\pi$ must be constant. The main tool is a new sharp
$\eta$-ellipticity result for minimizers in dimension three that might
be of independent interest. This is a joint work with Etienne Sandier (Universit\'e Paris-Est).
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| Extent |
40 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: Technion-Israel Institute of Technology
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| Series | |
| Date Available |
2017-10-01
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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| DOI |
10.14288/1.0355866
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Faculty
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| Rights URI | |
| Aggregated Source Repository |
DSpace
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International