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