Time Evolution of a Passive Scalar in a Turbulent Incompressible Gaussian Velocity Field
S. V. Lototsky, B. L. Rozovskii
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.
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