Jan Bartsch 
Optimal Control, Numerical Analysis

Discretization schemes for PDEs, discontinuous Galerkin schemes, PDEs optimal control problems.

Alfio Borzì 
Calculus of Variations and Optimal Control, Numerical Analysis

Discretization schemes for PDEs, multigrid methods, PDEs optimal control and inverse problems, shape optimization, stochastic models and uncertainty.

Ferruccio Colombini 
Analysis of PDEs, Real Functions

Hyperbolic operators, transport equations, elliptic operators, local solvability problems, unique continuation, square roots of functions.

Raphaël Danchin 
Analysis of PDEs, Fourier Analysis

Fluid mechanics, NavierStokes and Euler equations, compressible and incompressible fluids, inhomogeneous fluids, low Mach number, Korteweg models,
LittlewoodPaley theory, paradifferential calculus.

Francesco De Anna 
Analysis of PDEs

Fluid mechanics, liquid crystals, inhomogeneous fluids; paradifferential calculus.

Daniele Del Santo 
Analysis of PDEs

Hyperbolic operators with nonregular coefficients, backward parabolic equations, degenerate elliptic operators.

Isabelle Gallagher 
Analysis of PDEs, Abstract Harmonic Analysis

Fluid mechanics, NavierStokes equations, compressible and incompressible fluids, singular perturbation problems, kinetic and hydrodynamic limits, Boltzmann equation,
dispersive equations, harmonic analysis on Lie groups, paradifferential calculus.

Xian Liao 
Analysis of PDEs

Fluid mechanics, NavierStokes equations, low Mach number, incompressible fluids, inhomogeneous fluids, nonNewtonian fluids.

Guy Métivier 
Analysis of PDEs, Global Analysis

Hyperbolic operators, shocks, geometric optics, nonlinear theory, boundary value problems, fluid mechanics, compressible NavierStokes and Euler
equations, magnetohydrodynamics, incompressible limit, spectral theory, microlocal analysis, hypoelliptic operators, analytic propagation.

Marius Paicu 
Analysis of PDEs, Fourier Analysis

Fluid mechanics, NavierStokes and Euler equations, compressible and incompressible fluids, inhomogeneous fluids, magnetohydrodynamics, liquid crystals,
LittlewoodPaley theory, paradifferential calculus, backward parabolic equations.

Souvik Roy 
Analysis of PDEs, Numerical Analysis, Optimization

PDEs inverse problems, discontinuous Galerkin schemes, PDE optimal control for stochastic processes, shape optimization.

Enrique Zuazua 
Analysis of PDEs, Systems Theory, Numerical Analysis

Hyperbolic and parabolic equations, convectiondiffusion equations, control and stabilization of PDEs, waves in heterogeneous media,
optimal control, numerical approximations, numerical schemes, optimal design problems.
