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Information × Registration Number 0220U101092, 0118U001896 , R & D reports Title "Models of observed dynamic processes in near space and methods for their mathematical interpretation and prediction" popup.stage_title Head Cheremnykh Oleg K., Доктор фізико-математичних наук Registration Date 31-01-2020 Organization Space Research Institute popup.description2  The problems that arise in modeling complex systems of different nature and their identification by experimental data containing limited uncertainty are considered and solved. Using the methods of nonlinear functional analysis (the theory of monotone operators, which develop Galorkin methods for solving nonlinear operator equations), classes of asymptotic models were developed, which are suitable for describing a number of processes in the Earth's space. Under certain general conditions, this class of models is reduced by the Poincare formalism to observable systems to the Wiener-Hammerstein equations. It is theoretically established that plasma shear flows at the boundary of the geomagnetic tail can generate eight types of MHD modes, of which only one can be unstable due to the development of Kelvin - Helmholtz instability. The current scenarios of instability development in the plasma fluxes of the tail part of the Earth's magnetosphere that cause turbulence of the environment are analyzed. The limits of applicability of existing methods and approaches for the description and analysis of turbulence in the depolarization of the Earth's magnetic field have been determined, given the possibility of their use for processing and interpretation of experimental data on spacecraft. The processes of occurrence and development of low-frequency instability of kinetic alvenic and kinetic ion-sound waves in pre-flash solar plasma near the base of magnetic loops are investigated. The characteristic features of atmospheric gravitational waves (GW) as the most probable mechanism of energy transfer from the surface layers of the atmosphere to cosmic altitudes are investigated. Simple analytical expressions were obtained, which allow us to calculate the parameters of GW in specific experimental situations. Product Description popup.authors Voitsekhovska Anna D. Gubarev Vyacheslav F. Kozak Lyudmyla V. Kryshtal Olexandr N. Kryuchkov Evgen I. Lizunov Georgii B. Melnychuk Sergii V. Parnovskii Oleksii S Rapoport Yurii G. Salnikov Mykola M. Selivanov Yurii O. Skorokhod Tetyana V. Fedorenko Alla K. Tsaruk Nina P. Cheremnykh Oleg К. Shevchenko Volodymyr M. popup.nrat_date 2020-04-02 Close