ON THE SYMMETRY AND UNIQUENESS OF SOLUTIONS OF THE GINZBURG–LANDAU EQUATIONS FOR SMALL DOMAINS
作者： A. AFTALION , E. N. DANCER
DOI: 10.1142/S0219199701000275
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摘要: In this paper, we study the Ginzburg–Landau equations for a two dimensional domain which has small size. We prove that if is small, then solution no zero, vortex. More precisely, show order parameter Ψ almost constant. Additionnally, obtain disc of radius, any non normal symmetric and unique. Then, in case slab, one domain, use same method to derive solutions are symmetric. The proofs priori estimates Poincare inequality.
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