Mots-clés

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