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Conférence externe
Co-existence of non trivial solutions of the Ginzburg-Landau equation: a computer-assisted proof
Correc, Anaïs
Département de mathématiques et de statistique, Université Laval

A method based on Chebyshev series to rigorously compute solutions of the Ginzburg-Landau equation is proposed. The idea is to recast solutions as fixed points of an operator defined on a Banach space of rapidly decaying Chebyshev coefficients and to combine analytic estimates and the contraction mapping theorem to show the existence of a unique genuine solution nearby an approximate solution. With this approach, it is possible to answer some open questions regarding the co-existence of non trivial solutions of the Ginzburg-Landau model of superconductivity. This is joint work with J.-P. Lessard (U. Laval).

Date: 2013-06-17 à 12:00
Endroit: Rencontre annuelle de la SCMAI, Québec