|
Stages de découverte (classe de 3eme, 2nde) Voir https://www.math.univ-paris-diderot.fr/diffusion/index
Chiffres-clé
Chiffres clefs
189 personnes travaillent au LJLL
90 permanents
82 chercheurs et enseignants-chercheurs permanents
8 ingénieurs, techniciens et personnels administratifs
99 personnels non permanents
73 doctorants
14 post-doc et ATER
12 émérites et collaborateurs bénévoles
Chiffres mars 2019
A voir
GT CalVa C ROMAN
Lundi 13 mars 2017
Carlos ROMAN (Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie)
3D vortex approximation construction and an application to the study of global minimizers for the Ginzburg-Landau functional below and near the first critical magnetic field
Abstract : The Ginzburg-Landau model is a phenomenological description of superconductivity. An essential feature of type-II superconductors is the presence of quantized vortices, which appear above a certain value of the external magnetic field called the first critical magnetic field. This talk will review some known mathematical tools developed to analyze the vortices, and will provide a new polyhedral approximation of the vorticity in 3D, which allows one to obtain a new lower bound for the energy and a new vorticity estimate. This construction is at the epsilon-level and yields optimal estimates. As an application, we will describe the behavior of global minimizers for the Ginzburg-Landau functional in 3D below and near the first critical magnetic field.