Time Evolution of a Passive Scalar in a Turbulent Incompressible Gaussian Velocity Field
Mathematical Physics
2007-05-23 v1 math.MP
Probability
Abstract
Passive scalar equation is considered in a turbulent homogeneous incompressible Gaussian velocity field. The turbulent nature of the field results in non-smooth coefficients in the equation. A strong, in the stochastic sense, solution of the equation is constructed using the Wiener Chaos, and the properties of the solution are studied. The results apply to both viscous and conservative motions.
Keywords
Cite
@article{arxiv.math-ph/0307040,
title = {Time Evolution of a Passive Scalar in a Turbulent Incompressible Gaussian Velocity Field},
author = {S. V. Lototsky and B. L. Rozovskii},
journal= {arXiv preprint arXiv:math-ph/0307040},
year = {2007}
}
Comments
7 pages