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JOURNALS // Vestnik KRAUNC. Fiziko-Matematicheskie Nauki // Archive

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2021 Volume 37, Number 4, Pages 84–91 (Mi vkam511)

MATHEMATICAL MODELING

Fractal structure effect on electric field within thunderclouds

T. S. Kumykov

Institute of Applied Mathematics and Automation of Kabardin-Balkar Scientific Centre of RAS

Abstract: The paper considers the degree of fractal structure impact on the electric field intensity inside thunderstorm clouds using the apparatus of fractional integrodifferentiation. We propose a mathematical model of intensity dynamics of a static electric field in the thunderstorm clouds, taking into account media with fractal dimension. The results obtained confirm the close connection of electrophysical processes in thunderclouds with the fractal medium itself.

Keywords: thundercloud, mathematical model, fractal medium, intensity, electric field.

UDC: 517.958+550.3+551.5

MSC: 86A10

Language: English

DOI: 10.26117/2079-6641-2021-37-4-84-91



© Steklov Math. Inst. of RAS, 2025