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Numerical Methods for Simulating Ginzburg--Landau Vortices

✍ Scribed by Mu, Mo; Deng, Yuefan; Chou, Chung-Chiang


Book ID
118188904
Publisher
Society for Industrial and Applied Mathematics
Year
1998
Tongue
English
Weight
214 KB
Volume
19
Category
Article
ISSN
1064-8275

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A quantization property for static Ginzb
✍ Fang-Hua Lin; Tristan Rivière 📂 Article 📅 2000 🏛 John Wiley and Sons 🌐 English ⚖ 130 KB

For any critical point of the complex Ginzburg-Landau functional in dimension 3, we prove that, for large coupling constants, κ = 1 ε ; if the energy of this critical point on a ball of a given radius r is relatively small compared to r log r ε , then the ball of half-radius contains no vortex (the