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

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

2003-07-18

arxiv.org/abs/math-ph/0307040v1

Physics

Mathematical Physics

7 pages

Scientific paper

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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