On a fractional Ginzburg-Landau equation and 1/2-harmonic maps into spheres
To appear in Arch. Rational Mech. Anal.This paper is devoted to the asymptotic analysis of a fractional version of the Ginzburg-Landau equation in bounded domains, where the Laplacian is replaced by an integro-differential operator related to the square ...
Millot, Vincent +3 more
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The Ginzburg-Landau Equation II. The Energy Of Vortex Configurations
We consider the Ginzburg-Landau equation in dimension two. We introduce a key notion of the energy of vortex configurations. It is defined by minimizing the renormalized Ginzburg-Landau (free) energy introduced in the previous paper over functions with a
Yu. N. Ovchinnikov, I. M. Sigal
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