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Mathematical models of viscous friction

Butta, Paolo.

Mathematical models of viscous friction

Record Type:	Electronic resources : Monograph/item
Title/Author:	Mathematical models of viscous frictionby Paolo Butta, Guido Cavallaro, Carlo Marchioro.
Author:	Butta, Paolo.
other author:	Cavallaro, Guido.
Published:	Cham :Springer International Publishing :2015.
Description:	xiv, 134 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	ViscosityMathematical models.
Online resource:	http://dx.doi.org/10.1007/978-3-319-14759-8
ISBN:	9783319147598 (electronic bk.)

Mathematical models of viscous friction
Butta, Paolo.

Mathematical models of viscous friction[electronic resource] /by Paolo Butta, Guido Cavallaro, Carlo Marchioro. - Cham :Springer International Publishing :2015. - xiv, 134 p. :ill., digital ;24 cm. - Lecture notes in mathematics,21350075-8434 ;. - Lecture notes in mathematics ;2035..

1. Introduction -- 2. Gas of point particles -- 3. Vlasov approximation -- 4. Motion of a body immersed in a Vlasov system -- 5. Motion of a body immersed in a Stokes ﬂuid -- A Inﬁnite Dynamics.

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 the main 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 mathematical physics.

ISBN: 9783319147598 (electronic bk.)

Standard No.: 10.1007/978-3-319-14759-8doiSubjects--Topical Terms:

714419
Viscosity
--Mathematical models.

LC Class. No.: QC167

Dewey Class. No.: 532.0533

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245 1 0 $a Mathematical models of viscous friction $h [electronic resource] / $c by Paolo Butta, Guido Cavallaro, Carlo Marchioro.
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520 $a 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 the main 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 mathematical physics.
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