Variational approach to dynamics of bright solitons in lossy optical fibers.
Vortex dans les condensats de Bose Einstein
Vortex filament dynamics for Gross-Pitaevsky type equations
We study solutions of the Gross-Pitaevsky equation and similar equations in space dimensions in a certain scaling limit, with initial data for which the jacobian concentrates around an (oriented) rectifiable dimensional set, say , of finite measure. It is widely conjectured that under these conditions, the jacobian at later times continues to concentrate around some codimension submanifold, say , and that the family of submanifolds evolves by binormal mean curvature flow. We prove...
Vortex pinning with bounded fields for the Ginzburg–Landau equation
Vortices in Ginzburg-Landau equations.
Vorticité dans les équations de Ginzburg-Landau de la supraconductivité