04211nam a22004575i 4500001001800000003000900018005001700027007001500044008004100059020001800100024003500118050001200153072001500165072002300180072001400203245014200217250001800359264006900377300006400446336002600510337002600536338003600562347002400598490005000622505034500672520219201017650001703209650002003226650001503246650001703261650003803278700007703316700009603393710003403489773002603523776003603549776003603585776003603621830005003657856004603707978-3-031-70114-6DE-He21320251030114559.0cr nn 008mamaa241202s2024    sz |    s    |||| 0|eng d  a97830317011467 a10.1007/978-3-031-70114-62doi 4aQA1-939 7aPB2bicssc 7aMAT0000002bisacsh 7aPB2thema10aHereditary Models of Dynamic Processes in Geospheresh[electronic resource] /cedited by Roman Parovik, Rakhimjon Temirbekovich Zunnunov.  a1st ed. 2024. 1aCham :bSpringer Nature Switzerland :bImprint: Springer,c2024.  aXV, 231 p. 98 illus., 71 illus. in color.bonline resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier  atext filebPDF2rda1 aMathematics of Planet Earth,x2524-4272 ;v120 aLow-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.  aThe 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. 0aMathematics. 0aEarth sciences. 0aGeography.14aMathematics.24aEarth and Environmental Sciences.1 aParovik, Roman.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt1 aZunnunov, Rakhimjon Temirbekovich.eeditor.4edt4http://id.loc.gov/vocabulary/relators/edt2 aSpringerLink (Online service)0 tSpringer Nature eBook08iPrinted edition:z978303170113908iPrinted edition:z978303170115308iPrinted edition:z9783031701160 0aMathematics of Planet Earth,x2524-4272 ;v1240uhttps://doi.org/10.1007/978-3-031-70114-6