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,…