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Dynamics of Multiple Degree Ginzburg-Landau Vortices

✍ Scribed by F. Bethuel; G. Orlandi; D. Smets


Publisher
Springer
Year
2007
Tongue
English
Weight
355 KB
Volume
272
Category
Article
ISSN
0010-3616

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On the dynamical law of the Ginzburg-Lan
✍ F.-H. Lin; J. X. Xin πŸ“‚ Article πŸ“… 1999 πŸ› John Wiley and Sons 🌐 English βš– 164 KB πŸ‘ 2 views

We study the Ginzburg-Landau equation on the plane with initial data being the product of n well-separated +1 vortices and spatially decaying perturbations. If the separation distances are O(Ξ΅ -1 ), Ξ΅ 1, we prove that the n vortices do not move on the time scale the location of the j th vortex. The