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C.I.M.E. Foundation Subseries

Lectures on Topological Fluid Mechanics

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 2 - 10, 2001

Authors: Berger, M., Kauffman, L.H., Khesin, B., Moffatt, H.K., Ricca, R.L., Sumners, D.W.

Editors: Ricca, Renzo L. (Ed.)

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About this book

Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developments have given topological fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other.

This volume contains a wide-ranging collection of up-to-date, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamics and magnetohydrodynamics, integrability issues, Hamiltonian structures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot classification, provides an invaluable addition to this material.

Table of contents (7 chapters)

Table of contents (7 chapters)

Buy this book

eBook $54.99
price for USA in USD
  • ISBN 978-3-642-00837-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $69.95
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Lectures on Topological Fluid Mechanics
Book Subtitle
Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 2 - 10, 2001
Authors
Editors
  • Renzo L. Ricca
Series Title
C.I.M.E. Foundation Subseries
Series Volume
1973
Copyright
2009
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-00837-5
DOI
10.1007/978-3-642-00837-5
Softcover ISBN
978-3-642-00836-8
Edition Number
1
Number of Pages
XII, 223
Topics