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