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Lectures on Topological Fluid Mechanics

Author: De Witt SumnersRenzo L RiccaMitchell A BergerLouis H KauffmanBoris KhesinAll authors
Publisher: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2009.
Series: Lecture Notes in Mathematics, 1973.
Edition/Format:   eBook : Document : EnglishView all editions and formats
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
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: De Witt Sumners; Renzo L Ricca; Mitchell A Berger; Louis H Kauffman; Boris Khesin; H Keith Moffatt
ISBN: 9783642008375 3642008372 3642008364 9783642008368
OCLC Number: 428883015
Language Note: English.
Description: 1 online resource (: v.: digital.
Contents: Braids and Knots --
Topological Quantities: Calculating Winding, Writhing, Linking, and Higher Order Invariants --
Tangles, Rational Knots and DNA --
The Group and Hamiltonian Descriptions of Hydrodynamical Systems --
Singularities in Fluid Dynamics and their Resolution --
Structural Complexity and Dynamical Systems --
Random Knotting: Theorems, Simulations and Applications.
Series Title: Lecture Notes in Mathematics, 1973.
Responsibility: by De Witt Sumners, Renzo L. Ricca, H. Keith Moffatt, Boris Khesin, Louis H. Kauffman, Mitchell A. Berger ; edited by 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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