Turbulent diffusion in Markovian flows

DOI10.1214/aoap/1029962805zbMath0960.60034OpenAlexW2068292978MaRDI QIDQ1578584

Tomasz Komorowski, Albert C. Fannjiang

Publication date: 4 September 2000

Published in: The Annals of Applied Probability (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aoap/1029962805

zbMATH Keywords

invariance principleturbulent diffusionMarkovian flows

Mathematics Subject Classification ID

Martingales with continuous parameter (60G44) Functional limit theorems; invariance principles (60F17) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (13)

Dispersion rates under finite mode Kolmogorov flows ⋮ Velocity fields with power-law spectra for modeling turbulent flows ⋮ Lyapunov exponents of Poisson shot-noise velocity fields. ⋮ Homogenization of an advection equation with locally stationary random coefficients ⋮ Convergence Analysis of Stochastic Structure-Preserving Schemes for Computing Effective Diffusivity in Random Flows ⋮ Phase diagram for turbulent transport: Sampling drift, eddy diffusivity and variational principles ⋮ Passive tracer in non-Markovian, Gaussian velocity field ⋮ Lagrangian dynamics for a passive tracer in a class of Gaussian Markovian flows. ⋮ On mobility and Einstein relation for tracers in time-mixing random environments ⋮ Fluctuations of Random Semilinear Advection Equations ⋮ Prediction and the quantification of uncertainty ⋮ A quenched local limit theorem for stochastic flows ⋮ Invariance principle for inertial-scale behavior of scalar fields in Kolmogorov-type turbulence

Cites Work

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• RANDOM PSEUDODIFFERENTIAL OPERATORS AND THE STABILIZATION OF SOLUTIONS OF PARABOLIC EQUATIONS WITH RANDOM COEFFICIENTS
• Random measures and their application to motion in an incompressible fluid
• Diffusion by a Random Velocity Field

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