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