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Dynamics of vortices in the Ginzburg-Landau equation

✍ Scribed by Sergio Rica; Enrique Tirapegui


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
429 KB
Volume
161
Category
Article
ISSN
0375-9601

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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