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Mots-clés

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