MATHEMATICAL MODELING OF CHANGES IN THE CHARGE CLOUD DROPLETS IN A FRACTAL ENVIRONMENT
Journal Title: Вестник КРАУНЦ. Физико-математические науки - Year 2015, Vol 1, Issue
Abstract
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 apparatus of fractional calculus.
Authors and Affiliations
Tembulat Kumykov, Roman Parovik
METHODOLOGY OF THE NUMERICAL SOLUTION EQUATIONS SYSTEM OF THREE-DIMENSIONAL MODEL CONVECTIVE CLOUD
A three-dimensional numerical model of a convective cloud is developed taking into account thermodynamic, microphysical and electrical processes. The model uses a detailed microphysics. The system of equations of the clo...
UNIQUENESS OF A SOLUTION TO THE DIRICHLET PROBLEM FOR A MULTIDIMENSIONAL FRACTIONAL PARTIAL DIFFERENTIAL EQUATION
The uniqueness theorem for the solution of the Dirichlet problem for a multidimensional partial differential equation of fractional order in an unbounded domain is proved. The equation under study is an equation of the s...
MODEL RELAXATION PROCESSES IN THE DIFFERENT MODES OF PLASTIC DEFORMATION
A model of five modes of deformation activity based on the compound Poisson process and its fractal generalizations is considered. Comparison of the analytical dependences with the experimental ones obtained by the autho...
THE METHOD OF GREEN‘S FUNCTION FOR ONE DIFFERENTIAL EQUATION OF A FRACTIONAL ORDER
The differential equation of a fractional order of 0 < β < 1 is considered. Green’s function for such equation is constructed and is shown that in a case β = 1 the found decision passes in earlier known classical decisio...
THE POSSIBILITY OF USING OF THE OLD ANALOG MAGNETOGRAMS OF OBSERVATORIES TO OBTAIN NEW DATA ABOUT VARIATIONS OF THE EARTH’S MAGNETIC FIELD
The possibilities of digitization of old magnetograms to obtain new data about magnetic field variations are considered.