This book focuses on the development of continuum models of natural turbulent media. It provides a theoretical approach to the solutions of different problems related to the formation, structure and evolution of astrophysical and geophysical objects. A stochastic modeling approach is used in the mathematical treatment of these problems, which reflects self-organization processes in open dissipative systems. The authors also consider examples of ordering for various objects in space throughout their evolutionary processes.
This volume is aimed at graduate students and researchers in the fields of mechanics, astrophysics, geophysics, planetary and space science.
The book deals with the development of continual models of turbulent natural media. Such models serve as a ground for the statement and numerical evaluation of the key problems of the structure and evolution of the numerous astrophysical and geophysical objects. The processes of ordering (self-organization) in an originally chaotic turbulent medium are addressed and treated in detail with the use of irreversible thermodynamics and stochastic dynamics approaches which underlie the respective models. Different examples of ordering set up in the natural environment and outer space are brought and thoroughly discussed, the main focus being given to the protoplanetary discs formation and evolution. Provides a very broad coverage of topics relevant to homogeneous and multi-component reactive turbulent gas and gas-dust flows Shows the utilization of stochastic and irreversible thermodynamics approaches to the in-depth study of chaotic and ordered processes in the developed turbulence Offers many comprehensive illustrations and applications of the revealed processes to the modeling of natural phenomena in astro- and geophysics Presents a very detailed analysis of numerous problems of turbulent flows applied to the natural environment and conditions in outer space
“It should be of interest to students and specialists in applied mathematics and mechanics. The book is devoted to the problem of self-organisation in fully developed turbulent flows using stochastic thermodynamic constructions to treat complex reacting multicomponent gas and gas dust media.” (Mark Thompson, Mathematical Reviews, January, 2014)