04581nam a22005415i 4500 978-3-031-70114-6 DE-He213 20251030114559.0 cr nn 008mamaa 241202s2024 sz | s |||| 0|eng d 9783031701146 978-3-031-70114-6 10.1007/978-3-031-70114-6 doi QA1-939 PB bicssc MAT000000 bisacsh PB thema Hereditary Models of Dynamic Processes in Geospheres [electronic resource] / edited by Roman Parovik, Rakhimjon Temirbekovich Zunnunov. 1st ed. 2024. Cham : Springer Nature Switzerland : Imprint: Springer, 2024. XV, 231 p. 98 illus., 71 illus. in color. online resource. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Mathematics of Planet Earth, 2524-4272 ; 12 Low-mode hereditary model of a geodynamo driven by 6-cellconvection -- Two-mode hereditary α2ω-dynamo model -- Hereditarian Properties of Foreshock Distributions in the Framework of aFractional Model of the Deformation Process -- Mathematical model of the formation of geoacoustic emissionzones in the elastic approximation of the medium. 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 intoaccount 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. It should be noted that the research used the principle of the model-algorithm-program triad. Therefore, one of the chapters of the book is devoted to computational algorithms with the possibility of parallelization. The reader will become familiar with new models of geodynamic processes with heredity and approaches to their study. The presented numerical algorithms can be reproduced or applied to other similar processes. The book will provide comprehensive information about the processes being studied and methods of their research, all necessary references will be provided, including those defining the current state of affairs in this issue. Mathematics. 65523 Earth sciences. 65010 Geography. 62292 Mathematics. 65523 Earth and Environmental Sciences. 67852 Parovik, Roman. editor. edt http://id.loc.gov/vocabulary/relators/edt 88455 Zunnunov, Rakhimjon Temirbekovich. editor. edt http://id.loc.gov/vocabulary/relators/edt 88456 SpringerLink (Online service) Springer Nature eBook Printed edition: 9783031701139 Printed edition: 9783031701153 Printed edition: 9783031701160 Mathematics of Planet Earth, 2524-4272 ; 12 88457 https://doi.org/10.1007/978-3-031-70114-6 ZDB-2-SMA ZDB-2-SXMS 65431 65431