The monography is devoted working out of continual models of turbulent natural media underlying statements and numerical calculations of problems of formation, structure and evolution various astro- and geophysical objects. The goal of our mathematical models, in particular those that model cosmic objects that are inaccessible to direct investigation, is understanding the genesis and evolution of the key mechanisms that underlie natural processes in our environment and in the Universe at large. We focused on the theoretical approach of developed turbulence in multicomponent mixtures of reacting gases and heterogeneous gas-dust media. Because these systems, as a rule, have complicated physical and chemical characteristics, their mathematical modeling presents serious problems. Generally it requires taking into account the compressibility of flow, the variability of thermophysical properties, heat and mass exchange, chemical reactions, phase transitions and radiation transfer, and the processes occurring under the influence of gravitational and electromagnetic forces. This theoretical advancement serves the purpose of reconstructing space object evolution based on the refined numerical models.

developed turbulence, chemically reacting gases, averaged magnetohydrodynamic equations, developed MHD- turbulence, hydrodynamics of fractal media, coagulation processes, entropy Tsallis, nonadditive statistics, astrophysical disks, gravitational noninstability

Mathematical modelling in actual problems of science and technics