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