THE CLOUD DROPLETS EVOLUTION IN VIEW OF THE IMPACT OF FRACTAL ENVIRONMENT: MATHEMATICAL MODELING
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2018, Vol 4, Issue
Abstract
n this paper, we investigate the effect of the medium with fractal structure on the growth of small cloud droplets at the initial condensation stage of cloud formation using a fractional differential equation. An electrodynamic model of coagulation of droplets under the action of an electric field is constructed in the cloud medium with a fractal structure. Numerical experiments are performed for assessment of the effect of the medium with fractal structure on the growth of cloud particles involving various combinations of microphysical parameters. A general dependence of the growth of cloud particles on different parameters of fractal structure in medium is established.
Authors and Affiliations
Tembulat Kumykov
THE CREDITING OF WORK OF SECTION «FUNCTIONS»(FOR SECONDARY VOCATIONAL EDUCATION)
The article describes exemplary embodiments of credit works on the section «Functions»that can be used in teaching students of secondary vocational education. Scoring works allows for total control on «Charts function «D...
MATHEMATICAL MODELING OF CHANGES IN THE CHARGE CLOUD DROPLETS IN A FRACTAL ENVIRONMENT
The paper proposed a new mathematical model of the variation of the charge cloud drops in storm clouds. The model takes into account the fractal properties of storm clouds, and the solution was obtained using the apparat...
GENERALIZED EQUATIONS OF MATHIEU
We consider a nonlocal model of the wave process, which generalizes the classical model parmetricheskogo resonance Mathieu. It is proved that this model has a unique solution.
THE NEUMANN PROBLEM FOR THE GENERALIZED LAPLACE EQUATION
The existence and uniqueness of the solution of the Neumann problem is proved for the generalized Laplace equation with a fractional derivative in the upper half-plane.
SEGMENTATION OF RELATED TIME SERIES BY THE EXAMPLE OF RADON VOLUMETRIC ACTIVITY AND ATMOSHERE PRESSURE
This paper is devoted to the results of using related time series segmentation method based on Grager test to the radon volumetric activity and atmosphere pressure signals.