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Lectures on topological fluid mechanics : lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 2-10, 2001

Author: Mitchell Anthony Berger; Renzo L Ricca; Centro internazionale matematico estivo.; et al
Publisher: Berlin : Springer, ©2009.
Series: Lecture notes in mathematics (Springer-Verlag), 1973.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Database:WorldCat
Summary:
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  Read more...
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Genre/Form: Electronic books
Conference proceedings
Congresses
Additional Physical Format: Print version:
C.I.M.E. Summer School (2001 : Cetraro, Italy).
Lectures on topological fluid mechanics.
Berlin : Springer, c2009
(OCoLC)320198333
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mitchell Anthony Berger; Renzo L Ricca; Centro internazionale matematico estivo.; et al
ISBN: 9783642008375 3642008372
OCLC Number: 424513792
Notes: "Fondazione CIME."
Description: 1 online resource (xii, 221 p.) : ill.
Contents: Braids and knots / Patrick D. Bangert --
Topological quantities: calculating winding, writhing, linking, and higher order invariants / Mitchell A. Berger --
Tangles, rational knots and DNA / Louis H. Kauffman and Sofia Lambropoulou --
The group and Hamiltonian descriptions of hydrodynamical systems / Boris Khesin --
Singularities in fluid dynamics and their resolution / H.K. Moffatt --
Structural complexity and dynamical systems / Renzo L. Ricca --
Random knotting: theorems, simulations and applications / De Witt Sumners.
Series Title: Lecture notes in mathematics (Springer-Verlag), 1973.
Other Titles: C.I.M.E. Summer School
Responsibility: Mitchell A. Berger ... [et al.] ; editor, Renzo L. Ricca.

Abstract:

This volume contains a wide-ranging collection of valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid  Read more...

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