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Mots-clés

Data assimilation Diffusion Scattering Modal analysis Numerical simulation Convergence Density matrix Oceanography Highly oscillatory problems Population dynamics Schrödinger equation Timoshenko beam Conduction Chapman-Enskog expansion Adjoint model Elasticity Degenerate parabolic equations Controllability Helmholtz decomposition Spectral set Long-time behavior Fractured porous media Uniform accuracy Dislocation dynamics Numerical simulations MPCC Nonlinear Schrödinger equation Micro-macro decomposition Navier-Stokes Equations Optimal control Geophysical fluid dynamics Entropy Finite Element Method Turbulence models Boundary layer Error estimate Fluid-structure interaction White noise Turbulence Diffusion limit Robust optimization Homogenization Stroboscopic averaging Subdivision Global existence Two-scale convergence Finite elements Reaction-diffusion Lower-bound gradient estimate Numerical range Geometrical properties BGK equation 65L20 Asymptotic behavior Regularity Nonlocal front propagation Level-set approach Vlasov equation Cardiac electrophysiology Viscosity solutions Dynamical system Formal series Asymptotic preserving schemes Navier-Stokes equations Eikonal equation Large eddy simulation Averaging Reaction-diffusion system FOS Mathematics Fluid mechanics Invariant measure Binary alloys PIV $L^1-$dependence in time Uncertainty quantification Finite element method DATA ASSIMILATION Concrete B-series Optimization Asymptotic Analysis Markov chain Stochastic partial differential equations Nonlocal Hamilton-Jacobi Equations Fine-scale substructure Conservation laws Ensemble forecasting Kinetic equations Porous media Deconvolution models Interaction fluide-structure Stability Backward error analysis Maximum principle Asymptotic analysis Shape optimization Ensemble forecasts Hamilton-Jacobi equations Vlasov-Poisson equation Robust control