I am interested in the mathematical analysis and modelling of **suspension of particles in
a viscous fluid**. Precisely, it consists in the rigorous derivation of mesoscopic models (kinetic description)
by performing a mean-field analysis of the microscopic model (ODEs system for a large number of particles).
This asymptotic analysis is related to the **homogenization** of Stokes equation in a perforated domain.

I am also interested in the analysis of the limit model which is a Stokes-transport coupled system.
The main interesting aims are existence and uniqueness results for irregular data, analyticity and controllability.
Another interesting issue is the long time behaviour and quantitative/qualitative properties of wave equilibria.

The modelling of sedimentation of particles in a Stokes flow involves also the rigorous justification of some effective phenomena
such as the **effective viscosity**. A challenging issue is to extend the well-known Einstein's effective viscosity
formula for high order terms of the suspension volume fraction.

I also collaborated on a work regarding **fluid-kinetic modelling for
respiratory aerosols ** that takes into account the radius growth of aerosol particles due to humidity in the
respiratory system. This work includes 2D numerical simulations of aerosol deposit in the trachea in order
to investigate the hygroscopic effects on the aerosol.

**Sedimentation of a droplet in a viscous fluid**

link video 1 : fall of a spherical droplet in a cynlindrical container

link video 2 : fall of a spherical droplet in unbounded domain