We present a method to prove convergence of gradient flows of families of energies that Γ‐
converge to a limiting energy. It provides lower‐bound criteria to obtain the convergence that …

We introduce a “Coulombian renormalized energy” W which is a logarithmic type of
interaction between points in the plane, computed by a “renormalization.” We prove various …

Since the first experimental achievement of Bose–Einstein condensates (BEC) in 1995 and
the award of the Nobel Prize for Physics in 2001, the properties of these gaseous quantum …

We consider analytical and numerical aspects of the phase diagram for microphase
separation of diblock copolymers. Our approach is variational and is based upon a density …

In modern theoretical physics, gauge field theories are of great importance since they keep
internal symmetries and account for phenomena such as spontaneous symmetry breaking …

In the first part of this paper we prove that certain functionals of Ginzburg-Landau type for
maps from a domain in ℝn+ k into ℝk converge in a suitable sense to the area functional for …

H1/2 MAPS WITH VALUES INTO THE CIRCLE: MINIMAL CONNECTIONS, LIFTING, AND
THE GINZBURG–LANDAU EQUATION Page 1 H1/2 MAPS WITH VALUES INTO THE …

We present the first of two articles on the small volume fraction limit of a nonlocal Cahn–
Hilliard functional introduced to model microphase separation of diblock copolymers. Here …

Let Ω be a bounded, simply connected, regular domain of RN, N⩾ 2. For 0< ε< 1, let uε: Ω→
C be a smooth solution of the Ginzburg–Landau equation in Ω with Dirichlet boundary …

This paper aims at building a variational approach to the dynamics of discrete topological
singularities in two dimensions, based on Γ-convergence. We consider discrete systems …