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