Pub. Date:
Springer Netherlands
An Introduction to the Geometry and Topology of Fluid Flows / Edition 1

An Introduction to the Geometry and Topology of Fluid Flows / Edition 1

by Renzo L. Ricca
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Product Details

ISBN-13: 9781402002069
Publisher: Springer Netherlands
Publication date: 11/30/2001
Series: Nato Science Series II: , #47
Edition description: 2001
Pages: 347
Product dimensions: 6.10(w) x 9.25(h) x (d)

Table of Contents

Preface. Photograph of H.K. Moffatt. I: Eight Problems for the XXI Century. Some Remarks on Topological Fluid Mechanics; H.K. Moffatt. II: Mathematics Background. Differential Geometry of Curves and Surfaces; R. Langevin. Topology in Four Days; T. Tokieda. Elements of Classical Knot Theory; C. Weber. An Introduction to Knot Theory; L.H. Kauffman. Fluid Mechanics and Mathematical Structures; P. Boyland. III: Geometry and Topology of Fluid Flows. Introduction to a Geometrical Theory of Fluid Flows and Dynamical Systems; T. Kambe. Streamline Patterns and their Bifurcations Using Methods from Dynamical Systems; M. Brøns. Topological Features of Inviscid Flows; R. Grhist, R. Komendarczyk. Geometric and Topological Aspects of Vortex Motion; R.L. Ricca. Topology Bounds the Energy; B.A. Khesin. Measures of Topological Structure in Magnetic Fields; M.A. Berger. Diffeomorphisms, Braids and Flows; A. Shnirelman. Variational Principles, Geometry and Topology of Lagrangian-Averaged Fluid Dynamics; D.D. Holm. IV: Reconnections and Singularities. The Geometry of Reconnection; G. Hornig. Euler Singularities from the Lagrangian Viewpoint; S. Childress. Analysis of a Candidate Flow for Hydrodynamic Blowup; R.B. Pelz. Subject Index.

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