General solution to random advective-dispersive equation in porous media. II: Stochasticity in the parameters
[For part I see the following entry (Zbl 0674.76091).] The article presents the applications of functional-analytic solution of the partial differential equation describing solid transport in acquifers. It establishes the semi-group solution of the randomly forced three dimensional equation, and then introduces the solutions for the particular case, when the dispersion coefficient or the ground water velocity are prescribed stochastic processes in time or in space. An illustration is worked out in details. The solution may explain the uncertainty in the concentration distribution. In course of solution, an integral equation is met, whose solution is obtained in the deterministic way.
randomly forced three dimensional equation
scientific article; zbMATH DE number 4104620
scientific article