Maître de conférences, Université d'Aix-Marseille.
Institut de Mathématiques de Marseille (I2M)
Site de Saint Charles
3 place Victor Hugo
13331 Marseille cedex 3
Adresse mail: loic.le-treust, 'at', univ-amu.fr,
I am working on anisotropic confinement problems for Bose-Einstein condensates and hadron bag models.
On July 5th 2013, I defended my PhD thesis entitled "Variational and topological methods for the study of nonlinear models from relativistic quantum mechanics" supervised by Éric Séré at Ceremade, Université Paris-Dauphine. pdf.
Research lines:
-Nonlinear analysis, Partial differential equations, Dirac equation, Schrödinger equation, shooting method, variational methods, Gamma-convergence, Concentration-compactness principle, Shape optimization, Averaging methods, Semi-classical methods.
-Uniformly accurate numerical schemes.
-Mathematical physics, relativistic quantum mechanics, hadron bag models, Bose-Einstein condensates.