A stochastic model of the moisture motion in the atmosphere: two-dimensional case

A model of moisture transfer in the atmosphere based on a stochastic interpretation of the components of the velocity vector is proposed. Explicit formulas of the mathematical expectation and the second-moment function of the solution of the moisture transfer equation without sources and drains with random coefficients are given. In contrast to previous works, the two-dimensional case of the moisture transfer equation is considered. The results can be used in microscale hydrodynamic models of local forecasting of dangerous weather phenomena.