Research areas

• Ordinary differential equations with low regularity. DiPerna-Lions theory.
• Approximation or derivation of usual transport equation (Vlasov-Poisson, 2D Euler, aggregation equation) with the help of particles systems.
• Gyro-kinetic models for strongly magnetised plasmas.
• Quantum decoherence induced by the environnement, with an analytical viewpoint.

Publications

• HDR manuscript (in french)
• My publications listed by anti-chronological order.
• My publications (till 2014) with short abstract, sorted by area.

Slides

• Slides of my HDR Defense, about particle system, and gyro-kinetic and quasi-neutral limit, and decoherence.
• Vortex towards 2D Navier-Stokes. About my work with S. Mischler and N. Fournier, on the propagation of chaos for noisy vortex systems.
• Particles towards Vlasov Equation. About my work with P.E. Jabin, on the propagation of molecular chaos for deterministic particle systems.
• Quasi-neutral limit for 1D Vlasov-Poisson. About my work with D. Han-Kwan, about the stability or instability of homogeneous profiles in the quasi-neutral limit.
• A simple model for the environment induced decoherence. About my work with R. Adami and C. Negulescu on the quantum decoherence induced by the environment, in a very simple 1D setting.