International audienceWe provide a study at the boundary for a class of equation including the Ginzburg-Landau equation as well as the equation of travelling waves for the Gross-Pitaevskii model. We prove Clearing-Out results and an orthogonal anchoring condition of the vortex on the boundary for the Ginzburg-Landau equation with magnetic field
International audienceWe prove the existence of travelling vortex helices to the Gross-Pitaevskii eq...
We establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically larg...
Let Omega subset of R-2 be a bounded domain with the same area as the unit disk B-1 and letE-epsilon...
We construct local minimizers to the Ginzburg-Landau functional of superconductivity whose number of...
For ? > 0, let u? : ? ? R 2 be a solution of the Ginzburg-Landau system ??u? = 1 ? 2 u?(1 ? |u?| 2) ...
AbstractLet Ω be a bounded domain with smooth boundary in R2. We construct non-constant solutions to...
In this paper we study the asymptotic behavior of a Ginzburg-Landau problem in a e-periodically perf...
International audienceLet $A$ be an annular type domain in ${\mathbb R}^2$. Let $A_\delta$ be a per...
The 28th Sapporo Symposium on Partial Dierential Equations Organizers: T. Ozawa, Y. Giga, S. Jimbo,...
In this work, we study the effective geometric motions of an anisotropic Ginzburg--Landau equation w...
Abstract:: We study the Complex Ginzburg-Landau initial value problem for a complex field u ∈ C, wit...
We study a complex Ginzburg-Landau equation in the plane, which has the form of a Gross-Pitaevskii e...
10 pages -- english version of the note "Amortissement Landau" Version 2 includes latest improvement...
We consider the full three-dimensional Ginzburg-Landau model of superconductivity with applied magne...
We provide a study at the boundary for a class of equation including the Ginzburg-Landau equation as...
International audienceWe prove the existence of travelling vortex helices to the Gross-Pitaevskii eq...
We establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically larg...
Let Omega subset of R-2 be a bounded domain with the same area as the unit disk B-1 and letE-epsilon...
We construct local minimizers to the Ginzburg-Landau functional of superconductivity whose number of...
For ? > 0, let u? : ? ? R 2 be a solution of the Ginzburg-Landau system ??u? = 1 ? 2 u?(1 ? |u?| 2) ...
AbstractLet Ω be a bounded domain with smooth boundary in R2. We construct non-constant solutions to...
In this paper we study the asymptotic behavior of a Ginzburg-Landau problem in a e-periodically perf...
International audienceLet $A$ be an annular type domain in ${\mathbb R}^2$. Let $A_\delta$ be a per...
The 28th Sapporo Symposium on Partial Dierential Equations Organizers: T. Ozawa, Y. Giga, S. Jimbo,...
In this work, we study the effective geometric motions of an anisotropic Ginzburg--Landau equation w...
Abstract:: We study the Complex Ginzburg-Landau initial value problem for a complex field u ∈ C, wit...
We study a complex Ginzburg-Landau equation in the plane, which has the form of a Gross-Pitaevskii e...
10 pages -- english version of the note "Amortissement Landau" Version 2 includes latest improvement...
We consider the full three-dimensional Ginzburg-Landau model of superconductivity with applied magne...
We provide a study at the boundary for a class of equation including the Ginzburg-Landau equation as...
International audienceWe prove the existence of travelling vortex helices to the Gross-Pitaevskii eq...
We establish vortex dynamics for the time-dependent Ginzburg–Landau equation for asymptotically larg...
Let Omega subset of R-2 be a bounded domain with the same area as the unit disk B-1 and letE-epsilon...