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Mots-clés

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