An Introduction to the Geometry and Topology of Fluid Flows

  • Renzo L. Ricca

Part of the NATO Science Series book series (NAII, volume 47)

Table of contents

  1. Front Matter
    Pages i-xi
  2. Eight Problems For The XXI Century

    1. Front Matter
      Pages 1-1
    2. H. Keith Moffatt
      Pages 3-10
  3. Mathematics Background

    1. Front Matter
      Pages 11-11
    2. Tadashi Tokieda
      Pages 35-55
    3. Claude Weber
      Pages 57-75
    4. Louis H. Kauffman
      Pages 77-104
    5. Philip Boyland
      Pages 105-134
  4. Geometry And Topology Of Fluid Flows

    1. Front Matter
      Pages 135-135
    2. Robert Ghrist, Rafal Komendarczyk
      Pages 183-201
    3. Boris A. Khesin
      Pages 229-238
    4. Mitchell A. Berger
      Pages 239-252
    5. Alexander Shnirelman
      Pages 253-270
  5. Reconnections and Singularities

    1. Front Matter
      Pages 293-293
    2. Gunnar Hornig
      Pages 295-312

About this book

Introduction

Leading experts present a unique, invaluable introduction to the study of the geometry and typology of fluid flows. From basic motions on curves and surfaces to the recent developments in knots and links, the reader is gradually led to explore the fascinating world of geometric and topological fluid mechanics.
Geodesics and chaotic orbits, magnetic knots and vortex links, continual flows and singularities become alive with more than 160 figures and examples.
In the opening article, H. K. Moffatt sets the pace, proposing eight outstanding problems for the 21st century. The book goes on to provide concepts and techniques for tackling these and many other interesting open problems.

Keywords

calculus dynamical systems dynamische Systeme fluid dynamics fluid mechanics geometry mechanics

Editors and affiliations

  • Renzo L. Ricca
    • 1
  1. 1.Mathematics DepartmentUniversity College LondonLondonUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-94-010-0446-6
  • Copyright Information Kluwer Academic Publishers 2001
  • Publisher Name Springer, Dordrecht
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4020-0207-6
  • Online ISBN 978-94-010-0446-6
  • Series Print ISSN 1568-2609
  • About this book
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