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