Mathematical Models of Viscous Friction

  • Paolo Buttà
  • Guido Cavallaro
  • Carlo Marchioro

Part of the Lecture Notes in Mathematics book series (LNM, volume 2135)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Paolo Buttà, Guido Cavallaro, Carlo Marchioro
    Pages 1-41
  3. Paolo Buttà, Guido Cavallaro, Carlo Marchioro
    Pages 43-61
  4. Paolo Buttà, Guido Cavallaro, Carlo Marchioro
    Pages 63-100
  5. Paolo Buttà, Guido Cavallaro, Carlo Marchioro
    Pages 101-116
  6. Back Matter
    Pages 117-136

About this book

Introduction

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.

Keywords

70F40;78A35;34G20;70F45;82C05;82C40;76D07. Body/medium interaction Hamiltonian systems Memory effects Ohm's law Viscous friction

Authors and affiliations

  • Paolo Buttà
    • 1
  • Guido Cavallaro
    • 2
  • Carlo Marchioro
    • 3
  1. 1.Dept. of MathematicsSapienza Università di RomaRomaItaly
  2. 2.Dept. of MathematicsSapienza Università di RomaRomaItaly
  3. 3.Dept. of MathematicsSapienza Università di RomaRomaItaly

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-14759-8
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-319-14758-1
  • Online ISBN 978-3-319-14759-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book
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