Une estimée-produit pour Ginzburg-Landau, et application au flot-gradient

Etienne Sandier; Sylvia Serfaty

doi:10.1016/S1631-073X(03)00224-3

Une estimée-produit pour Ginzburg-Landau, et application au flot-gradient

Translated title of the contribution: A product estimate for Ginzburg-Landau and application to the gradient-flow

Etienne Sandier, Sylvia Serfaty

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a new inequality for the Jacobian (or vorticity) associated to the Ginzburg-Landau energy in any dimension, and give static and dynamical corollaries. We then present a method to prove convergence of gradient-flows of families of energies which Gamma-converge to a limiting energy, which we apply to establish, thanks to the previous dynamical estimate, the limiting dynamical law of a finite number of vortices for the heat-flow of Ginzburg-Landau in dimension 2, with and without magnetic field.

Translated title of the contribution	A product estimate for Ginzburg-Landau and application to the gradient-flow
Original language	French
Pages (from-to)	997-1002
Number of pages	6
Journal	Comptes Rendus Mathematique
Volume	336
Issue number	12
DOIs	https://doi.org/10.1016/S1631-073X(03)00224-3
State	Published - Jun 15 2003

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Mathematics(all)

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10.1016/S1631-073X(03)00224-3

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Une estimée-produit pour Ginzburg-Landau, et application au flot-gradient

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