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Mots-clés

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