Kinetic models for mixtures (sprays, plasmas...): modelling, analysis, numerical simulation
Particle and semi-Lagrangian numerical methods for transport equations: numerical analysis, scientific computing
Algorithms for positive polynomial interpolation
Thesis supervision
Alexandre Rege(co-supervised with Bruno Després), 2018-2021: “Kinetic models for magnetized plasmas.”
Zhe Chen (co-supervised with François Golse), 2022-2025 : "Study of Nonlocal Collisional Kinetic
Models and Their Applications to Thick Sprays". Zhe is now temporary research and teaching assistant ("ATER") in MAP5, Paris Cité University, currently seeking postdoctoral opportunities. Please feel free to contact him regarding relevant opportunities.
Habilitation to supervise research defended on January 11, 2021: Development of models and analysis of numerical methods for kinetic problems arising from plasma physics and gas-particle flows.
Manuscript,
defense slides.
Doctoral thesis defended on November 29, 2009:
Mathematical modeling and numerical study
of an aerosol in a rarefied gas.
Application to the simulation Application to the simulation
of dust particle transport in the event of a
vacuum loss accident in ITER. Defense slides.
For more details (in french): see here
Some presentations
Kinetic models for gas-particle flows (Grenoble, December 2023):
slides.
Mathematical and Numerical Study of a Dusty Knudsen Gas Mixture (Rome, November 2019):
slides.
From particle methods to hybrid semi-Lagrangian schemes (Marseille, November 2018):
slides.
Iterative positive polynomial interpolation (Rennes, March 2017):
slides.
A linearly transformed particle method for an aggregation equation (Oaxaca, July 2015):
slides.
A non singular Vlasov equation for magnetic plasmas (Grenada, Septembre 2014):
slides.
Numerical simulation by a random particle method of Deuterium-Tritium fusion reactions in a plasma (Conception, January 2013):
slides. A poster on the same subject.
Dust transport in the situation of a loss-of-vaccum event (Paris, November 2010):
slides. A poster on the same subject.
Electrostatic charge phenomena : hydrodynamic model
and interface conditions (Project HYDROMELC from CEMRACS 2010) :
slides.
