RESEARCH

Photonics in ionized plasmas:

• Existence and uniqueness of solutions to the equation of radiative transfer coupled with hydrodynamics
• Diffusion limit for radiative transfer equation and boundary layer problems

The modelling of solids:

• Thermodynamic limit (in a periodic or non periodic setting, and in a deterministic or stochastic setting)
• Discrete to continuum  problems (link between atomistic models and nonlinear elasticity)
• "orbital free" type models in solids (for electronic structure calculations)
• Models coupling discrete and continuum models

Bose-Einstein condensates, with in particular superfluidity

• Flow of a condensate around an obstacle
• Fast rotating condensates: nucleation of vortices and Abrikosov lattices.