Stability of <IMG >-vortices in the Ginzburg-Landau equation期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

Stability of -vortices in the Ginzburg-Landau equation

Authors:	James Coleman

Affiliation:	Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3

Abstract:	We consider the class of -vortex solutions to the time-independent Ginzburg-Landau equation on $mathbf{R}^2$ . We prove an inequality governing the solutions of a particular boundary value problem. This inequality is crucial for an elementary proof by Ovchinnikov and Sigal that such -vortices are unstable in the case .

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