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Keywords

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