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Time Evolution of a Passive Scalar in a Turbulent Incompressible Gaussian Velocity Field

S. V. Lototsky·B. L. Rozovskii
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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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S. V. Lototsky, B. L. Rozovskii. 2003-07-18. Time Evolution of a Passive Scalar in a Turbulent Incompressible Gaussian Velocity Field. https://arxiv.org/abs/math-ph/0307040

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