Mathematical models with exact renormalization for turbulent transport. II: Fractal interfaces, non-Gaussian statistics and the sweeping effect
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Publication:1193114
DOI10.1007/BF02099212zbMath0754.76046MaRDI QIDQ1193114
Andrew J. Majda, Marco Avellaneda
Publication date: 27 September 1992
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Related Items (27)
Annealed large deviations for diffusions in a random Gaussian shear flow drift. ⋮ The random uniform shear layer: An explicit example of turbulent diffusion with broad tail probability distributions ⋮ Statistics of an advected passive scalar ⋮ Random shearing direction models for isotropic turbulent diffusion ⋮ Intermittency in turbulent diffusion models with a mean gradient ⋮ Non-Gaussian limit of a tracer motion in an incompressible flow ⋮ In memoriam: Marco Avellaneda (1955–2022) ⋮ Elementary models for turbulent diffusion with complex physical features: eddy diffusivity, spectrum and intermittency ⋮ Anomalous scaling in the kazantsev-kraichnan model with finite time correlations: two-loop renormalization group analysis of relevant composite operators ⋮ Bounds on enhanced turbulent flame speeds for combustion with fractal velocity fields ⋮ Scaling in erosion of landscapes: renormalization group analysis of a model with turbulent mixing ⋮ Phase diagram for turbulent transport: Sampling drift, eddy diffusivity and variational principles ⋮ COMBINED EFFECTS OF SMALL SCALE ANISOTROPY AND COMPRESSIBILITY ON ANOMALOUS SCALING OF A PASSIVE SCALAR ⋮ Inertial-range behavior of a passive scalar field in a random shear flow: Renormalization group analysis of a simple model ⋮ A new approach to turbulent transport of a mean scalar ⋮ A Review of Some Monte Carlo Simulation Methods for Turbulent Systems ⋮ Mathematical models with exact renormalization for turbulent transport. II: Fractal interfaces, non-Gaussian statistics and the sweeping effect ⋮ Green's function-stochastic methods framework for probing nonlinear evolution problems: Burger's equation, the nonlinear Schrödinger's equation, and hydrodynamic organization of near-molecular-scale vorticity ⋮ Anomalous scaling regimes of a passive scalar advected by the synthetic velocity field ⋮ Superdiffusive behaviour of a passive Ornstein-Uhlenbeck tracer in a turbulent shear flow ⋮ Monte Carlo methods for turbulent tracers with long range and fractal random velocity fields ⋮ On the FKPP equation with Gaussian shear advection ⋮ Trapping, percolation, and anomalous diffusion of particles in a two-dimensional random field ⋮ Explicit inertial range renormalization theory in a model for turbulent diffusion ⋮ Pair dispersion over an inertial range spanning many decades ⋮ Quenched large deviations for diffusions in a random Gaussian shear flow drift. ⋮ Anomalous diffusion of a tracer advected by wave turbulence
Cites Work
- A central limit theorem for \(m\)-dependent random variables
- An integral representation and bounds on the effective diffusivity in passive advection by laminar and turbulent flows
- Mathematical models with exact renormalization for turbulent transport
- Renormalization group analysis of turbulence. I: Basic theory
- Homogenization of a diffusion process in a divergence-free random field
- Mathematical models with exact renormalization for turbulent transport. II: Fractal interfaces, non-Gaussian statistics and the sweeping effect
- A limit theorem for turbulent diffusion
- Navier-Stokes equations and area of interfaces
- Analytical theory of turbulent diffusion
- Ergodic Properties of Recurrent Diffusion Processes and Stabilization of the Solution to the Cauchy Problem for Parabolic Equations
- Anomalous diffusion due to long-range velocity fluctuations in the absence of a mean flow
- Some specific features of atmospheric tubulence
- Approximate and exact renormalization theories for a model for turbulent transport
- Diffusion and geometric effects in passive advection by random arrays of vortices
- Eddy diffusivity, eddy noise and subgrid-scale modelling
- A Limit Theorem for Solutions of Differential Equations with Random Right-Hand Side
- The method of averaging and walks in inhomogeneous environments
- Gaussian sample functions and the Hausdorff dimension of level crossings
- Some Limit Theorems for Stationary Processes
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