An invariance principle for diffusion in turbulence

DOI10.1214/aop/1022677385zbMath0943.60030OpenAlexW2077783889MaRDI QIDQ1807215

Tomasz Komorowski, Albert C. Fannjiang

Publication date: 9 November 1999

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

Full work available at URL: https://doi.org/10.1214/aop/1022677385

zbMATH Keywords

diffusionturbulenceinvariance principle

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 (15)

On homogenization of space-time dependent and degenerate random flows ⋮ Invariance principle for the random conductance model ⋮ On discrete Wirtinger-Northcott problems ⋮ Anchored Nash inequalities and heat kernel bounds for static and dynamic degenerate environments ⋮ Large-scale regularity in stochastic homogenization with divergence-free drift ⋮ Stochastic homogenization with space-time ergodic divergence-free drift ⋮ Phase diagram for turbulent transport: Sampling drift, eddy diffusivity and variational principles ⋮ Diffusion in an incompressible random flow. Nash-Aronson-type estimates for transition probabilities and a central limit theorem ⋮ Quenched invariance principle for random walks with time-dependent ergodic degenerate weights ⋮ Homogenization in Random Dirichlet Forms ⋮ On homogenization of space-time dependent and degenerate random flows. II ⋮ The parametrix method approach to diffusions in a turbulent Gaussian environment ⋮ Scaling limits and stochastic homogenization for some nonlinear parabolic equations ⋮ Turbulent diffusion in Markovian flows ⋮ Invariance principle for the random conductance model in a degenerate ergodic environment

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• Random measures and their application to motion in an incompressible fluid
• The method of averaging and walks in inhomogeneous environments
• Bounds for the fundamental solution of a parabolic equation

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