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