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Titlebook: Mathematical Models of Viscous Friction; Paolo Buttà,Guido Cavallaro,Carlo Marchioro Book 2015 Springer International Publishing Switzerla

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書(shū)目名稱(chēng)Mathematical Models of Viscous Friction
編輯Paolo Buttà,Guido Cavallaro,Carlo Marchioro
視頻videohttp://file.papertrans.cn/627/626463/626463.mp4
概述Includes supplementary material:
叢書(shū)名稱(chēng)Lecture Notes in Mathematics
圖書(shū)封面Titlebook: Mathematical Models of Viscous Friction;  Paolo Buttà,Guido Cavallaro,Carlo Marchioro Book 2015 Springer International Publishing Switzerla
描述.In this monograph we?present a review of a number of recent results on the motion of a classical body immersed in an infinitely extended medium and subjected to the action of an external force. We investigate this topic in the framework of mathematical physics by focusing mainly on the class of purely Hamiltonian systems, for which very few results are available.?We discuss two cases: when the medium is a gas and when it is a fluid. In the first case, the aim is to obtain microscopic models of viscous friction. In the second, we seek to underline some non-trivial features of the motion..Far from giving a general survey on the subject, which is very rich and complex from both a phenomenological and theoretical point of view, we focus on some fairly simple models that can be studied rigorously, thus providing a first step towards a mathematical description of viscous friction. In some cases, we restrict ourselves to studying the problem at a heuristic level, or we present themain ideas, discussing only some aspects of the proof if it is prohibitively technical..This book is principally addressed to researchers or PhD students who are interested in this or related fields of mathemati
出版日期Book 2015
關(guān)鍵詞70F40;78A35;34G20;70F45;82C05;82C40;76D07; ; Body/medium interaction; Hamiltonian systems; Memory effect
版次1
doihttps://doi.org/10.1007/978-3-319-14759-8
isbn_softcover978-3-319-14758-1
isbn_ebook978-3-319-14759-8Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer International Publishing Switzerland 2015
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Motion of a Body Immersed in a Vlasov System,rregular motion of the body occurring when it interacts with a gas of point particles. On the contrary, in case of a Vlasov system, the motion is expected to be regular. The interaction body/medium is assumed to be hard core, which implies the existence of a stationary motion for any initial data an
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Motion of a Body Immersed in a Stokes Fluid,Stokes equation. The equation of motion for the sphere leads to an integro-differential equation, and we are interested in the asymptotic behavior in time of the solution. We show that the velocity of the sphere slows down in time with an algebraic law, due to the memory effect of the surrounding fl
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