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