Hereditary Models Of Dynamic Processes In Geospheres Roman Parovik by Roman Parovik, Rakhimjon Temirbekovich Zunnunov 9783031701139, 3031701135 instant download after payment.

The book is aimed at developing and analyzing fundamentally new mathematical models of dynamic processes in the Earth's geospheres, taking into account heredity, in order to detect (predict) natural and manmade threats. It is known that many natural, technical and social systems are characterized by the property of heredity (heredity or memory), when the actual dynamic characteristics of the system are determined by its entire prehistory. Mathematical formalization of such properties in mathematical models is usually ensured by the introduction of integral terms (memory functionals) with difference kernels. Therefore, taking into account the effects of heredity in dynamic processes and systems also determines the relevance of the study.

The topic is devoted to the study of various dynamic processes in geospheres using mathematical modeling. Dynamic processes discussed in the book: geomagnetic dynamo, geoacoustic emission, microseismic vibrations, deformation processes, solar activity, seismic activity, processes of transfer and accumulation of radon concentration.

The book was the first to examine some dynamic processes that have hereditary effects. Research methods are based on the following sections of mathematics: mathematical and functional analysis, equations of mathematical physics, differential equations and their systems, integro-differential equations, fractional calculus, vector analysis, computational mathematics, numerical methods. Also methods of object-oriented programming, parallel programming.