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