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