Time Evolution of a Passive Scalar in a Turbulent Incompressible Gaussian Velocity Field
Lototsky, S. V. ; Rozovskii, B. L.
arXiv, 0307040 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-07-18
Classification:  Mathematical Physics,  Mathematics - Probability,  60H15, 35R60, 60H40 
@article{0307040,
     author = {Lototsky, S. V. and Rozovskii, B. L.},
     title = {Time Evolution of a Passive Scalar in a Turbulent Incompressible
  Gaussian Velocity Field},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0307040}
}

Lototsky, S. V.; Rozovskii, B. L. Time Evolution of a Passive Scalar in a Turbulent Incompressible
  Gaussian Velocity Field. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0307040/