Lightning Birth Model: Exact Solution

Жеребятников, И.В.; Кушнер, А.Г.; Кляхандлер, С.М.

Информация о цитировании статьи получена из Scopus
Статья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 20 января 2021 г.

Авторы: Жеребятников И.В., Кушнер А.Г., Кляхандлер С.М.
Журнал: Global and Stochastic Analysis
Том: 7
Номер: 2
Год издания: 2020
Первая страница: 149
Последняя страница: 155
Аннотация: This note is devoted to the study of differential equations describing the process preceding the formation of lightning in a charged gas. It is based on the ideas of V. I. Pustovojt, according to which weakly ionized gas moves in the Earth’s magnetic field under the influence of pressure and temperature. The result is a system of differential equations, which in the case of a one-dimensional space is reduced to a nonlinear partial differential equation with respect to the normalized electric field strength. To construct its exact solutions, we use the symmetry method. The Lie algebra of point symmetries allowed by this equation turned out to be infinite-dimensional. This made it possible to construct classes of exact solutions of the equation, depending on arbitrary functions and arbitrary constants. An analysis of these solutions leads us to the conclusion that the singularity points of the electric field are discrete. It is in the vicinity of these points that electrical discharges can occur.
Добавил в систему: Кушнер Алексей Гурьевич

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