5 citations · 6 across the 3 of their papers we have counts for
7 papers · 1 filter
On the Convergence of critical points of the Ambrosio-Tortorelli functional
Jean-François Babadjian, Vincent Millot, Rémy Rodiac
This work is devoted to study the asymptotic behavior of critical points of the Ambrosio-Tortorelli functional. Under a uniform…
Torus-like solutions for the Landau-de Gennes model. Part I: the Lyuksyutov regime
Federico Dipasquale, Vincent Millot, Adriano Pisante
We study global minimizers of a continuum Landau-De Gennes energy functional for nematic liquid crystals, in three-dimensional domains. Assuming smooth and uniaxial (e.g. homeotrop…
Partial regularity for fractional harmonic maps into spheres
Vincent Millot, Marc Pegon, Armin Schikorra
This article addresses the regularity issue for stationary or minimizing fractional harmonic maps into spheres of order in arbitrary dimensions. It is shown that such f…
Minimizing 1/2-harmonic maps into spheres
Vincent Millot, Marc Pegon
In this article, we improve the partial regularity theory for minimizing -harmonic maps in the case where the target manifold is the -dimensional sphere. For ,…
A Ginzburg-Landau model with topologically induced free discontinuities
Michael Goldman, Benoît Merlet, Vincent Millot
We study a variational model which combines features of the Ginzburg-Landau model in 2D and of the Mumford-Shah functional. As in the classical Ginzburg-Landau theory, a prescribed…
Minimizing fractional harmonic maps on the real line in the supercritical regime
Vincent Millot, Yannick Sire, Hui Yu
This article addresses the regularity issue for minimizing fractional harmonic maps of order from an interval into a smooth manifold. Hölder continuity away from a lo…