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