An Introduction to the Geometry and Topology of Fluid Flows
Proceedings of the NATO Advanced Study Institute on Pedagogical Workshop on Geometry and Topology of Fluid Flows, held in Cambridge, United Kingdom, from 11 to 22 September 2000
Published on 30. November 2001
Book
Paperback/Softback
XI, 347 pages
978-1-4020-0207-6 (ISBN)
Description
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.
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.
More details
Series
Edition
2001
Language
English
Place of publication
Dordrecht
Netherlands
Target group
Professional and scholarly
Research
Illustrations
27 s/w Abbildungen
XI, 347 p. 27 illus.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 20 mm
Weight
546 gr
ISBN-13
978-1-4020-0207-6 (9781402002076)
DOI
10.1007/978-94-010-0446-6
Schweitzer Classification
Other editions
Additional editions
Renzo L. Ricca
An Introduction to the Geometry and Topology of Fluid Flows
E-Book
12/2012
Springer
€213.99
Available for download
Renzo L. Ricca
An Introduction to the Geometry and Topology of Fluid Flows
Book
11/2001
Kluwer Academic Publishers
€213.99
Shipment within 15-20 days
Content
I. Eight Problems for the XXI Century.- Some Remarks on Topological Fluid Mechanics.- II. Mathematics Background.- Differential Geometry of Curves and Surfaces.- Topology in Four Days.- Elements of Classical Knot Theory.- An Introduction to Knot Theory.- Fluid Mechanics and Mathematical Structures.- III. Geometry and Topology Of Fluid Flows.- to a Geometrical Theory of Fluid Flows and Dynamical Systems.- Streamline Patterns and their Bifurcations Using Methods from Dynamical Systems.- Topological Features of Inviscid Flows.- Geometric and Topological Aspects of Vortex Motion.- Topology Bounds the Energy.- Measures of Topological Structure in Magnetic Fields.- Diffeomorphisms, Braids and Flows.- Variational Principles, Geometry and Topology of Lagrangian-Averaged Fluid Dynamics.- IV. Reconnections and Singularities.- The Geometry of Reconnection.- Euler Singularities from the Lagrangian Viewpoint.- Analysis of a Candidate Flow for Hydrodynamic Blowup.