Advances in Differential Equations and Control Processes
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Abstract: Inthe present paper, the diffusion equation for a time dependent diffusion
coefficient is solved,
in two and three dimensions. It is pointed out that the behavior of the solution
is controlled by the definite integral of for time, assuming that the diffusion process is taking place at the time
interval The
physical meaning of the solution is that at time t,
the value of the quantity which is involved in the diffusion process depends on
the mean value of at and not on
its specific variation with time. The conclusions of this paper may be useful in
modeling diffusion processes in various fields of geosciences such as hydrology,
geomorphology and soil or atmospheric pollution.
