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