Analysis of partial differential equations
Fluid mechanics
Euler and Navier-Stokes equations, boundary layers and stratified flows, fluid-structure interaction systems, porous media,…
Kinetic equations
Équations de Fokker-Planck, Maxwell, Vlasov-Navier-Stokes, modèles cinétiques de gaz polyatomiques, physique des plasmas, systèmes fluide/cinétique, théorie de champ moyen,…
Dispersive and hyperbolic equations
Schrödinger equations, hyperbolic, linear and non-linear, links with fluid mechanics,…
PDE analysis
Functional, harmonic and spectral analysis, calculus of variations and geometric theory of measurement,…
Homogenization
Elliptic equations, Hamilton-Jacobi, localized defects, applications to fluids and numerics,…
Other contributions
Scalar gradient systems, multifractal analysis, differential systems, modeling of roots uptake, cross-diffusion systems,…