Shape optimization Reaction-diffusion equations Chemotaxis Kinetic equations Optimal control Interaction fluide-structure Incompressible fluid Finite element Numerical methods Finite volume scheme Linear elasticity Analyse numérique Cancer Homogenization Hyperbolic systems Shells Level set method Data assimilation Cell population dynamics Sub-Riemannian geometry Tumor growth Asymptotic analysis Navier-Stokes equations Periodic homogenization Heat equation Finite element method Observability Maximum principle Error estimates Finite volume method Calculus of variations Adaptive dynamics General relativity Stabilization Uncertainty quantification Transport equation Radiative transfer Null controllability Control Stability analysis Partial differential equations Hemodynamics Travelling waves Stability Backstepping Asymptotic behavior Modeling Parameter estimation Population dynamics Convergence Boundary conditions Viscosity solutions Discontinuous Galerkin Elasticity Gross-Pitaevskii equation Parallel computing Nonlinear elasticity Hamilton-Jacobi equation Incompressible limit Hamilton-Jacobi equations Modélisation Computational fluid dynamics Controllability Finite volume Contrôle optimal Mathematical biology Numerical simulation Entropy Mathematical modeling Équations aux dérivées partielles Domain decomposition methods Integral equation FreeFem++ Sterile insect technique Boltzmann equation Optimization Pontryagin maximum principle Schrödinger equation Reduced basis method Optimisation de forme Domain decomposition Quantum control Wave equation Blood flow Traveling waves Dimension reduction Integro-differential equations Numerical simulations Neural networks Helmholtz equation Adaptive evolution Numerical analysis Analyse asymptotique Inverse problems Inverse problem Gamma-convergence Fluid-structure interaction Finite elements Mean field games Maxwell equations