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