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