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

Vestnik KRAUNC. Fiz.-Mat. Nauki, 2020 Volume 33, Number 4, Pages 63–70 (Mi vkam435)

MATHEMATICAL MODELING

Modeling of electrodynamic processes in self-organization of fractal-convective cloud structures

T. S. Kumykov

Institute of Applied Mathematics and Automation KBSC RAS

Abstract: The paper considers a model of fractal-dynamic process of occurrence of large potentials on the crystallization front in the self-organization of convective cloud structures, which takes into account the fractality of the cloud environment. The solution of the model equation is found in the analytical form. With the help of numerical calculations demonstrate the dependence of the potential difference from the fractality of environment and the dependence of the level of the fractal of the radius of the particle.

Keywords: potential, droplet crystallization, fractal medium, mathematical model.

UDC: 517.958 + 550.3 + 551.5

MSC: 86A10

DOI: 10.26117/2079-6641-2020-33-4-63-70



© Steklov Math. Inst. of RAS, 2025