Mitchell A Berger

(Author)

Lectures on Topological Fluid Mechanics: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 2 - 10, 2001 (2009)Paperback - 2009, 11 May 2009

Lectures on Topological Fluid Mechanics: Lectures Given at the C.I.M.E. Summer School Held in Cetraro, Italy, July 2 - 10, 2001 (2009)
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Part of Series
Lecture Notes in Mathematics
Part of Series
Lecture Notes in Mathematics / Fondazione C.I.M.E., Firenze
Part of Series
Lecture Notes in Mathematics: CIME Foundation
Part of Series
Lecture Notes in Mathematics / C.I.M.E. Foundation Subseries
Part of Series
C.I.M.E. Foundation Subseries
Print Length
223 pages
Language
English
Publisher
Springer
Date Published
11 May 2009
ISBN-10
3642008364
ISBN-13
9783642008368

Description

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.

Product Details

Authors:
Mitchell A BergerLouis H KauffmanBoris KhesinH Keith MoffattRenzo L RiccaDe Witt Sumners
Book Edition:
2009
Book Format:
Paperback
Country of Origin:
NL
Date Published:
11 May 2009
Dimensions:
23.39 x 15.6 x 1.32 cm
ISBN-10:
3642008364
ISBN-13:
9783642008368
Language:
English
Location:
Berlin, Heidelberg
Pages:
223
Publisher:
Weight:
353.8 gm

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