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