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