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