Abstract

Electrodynamic models of the surface layer of the atmosphere, taking into account turbulent and convective transport, are constructed and studied. The models are based on the so-called total current equation derived from the equations of the theory of the electrode effect in the atmosphere. From the point of view of mathematics, this is a partial differential equation of a parabolic type with variable coefficients. Since in this type of equations the differential operator is not necessarily the Sturm-Liouville operator, in appropriate cases it is necessary to use different approaches to integrating the total current equation. This, in turn, makes it necessary to consider various hypotheses about the ratio of the intensities of local factors that affect the structure of the equation. The paper considers several cases of the model corresponding to the convective turbulent and convective-turbulent electrode layer. Analytical solutions of the stationary equation of the total electric current are obtained. in various approximations. Electric field strength profiles in the surface layer of the atmosphere for various physical conditions are constructed and studied.

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