Lectures on Topological Fluid Mechanics: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 2 - 10, 2001 by H. Keith Moffatt, De Witt Sumners, Boris Khesin, Renzo L. Ricca, Mitchell A. Berger, Louis H. Kauffman (Paperback, 2009)

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Braids and Knots. - Topological Quantities: Calculating Winding, Writhing, Linking, and Higher Order Invariants. - Tangles, Rational Knots and DNA. - Singularities in Fluid Dynamics and their Resolution.

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Product Information

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 Identifiers

PublisherSpringer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-139783642008368
eBay Product ID (ePID)95281340

Product Key Features

Publication NameLectures on Topological Fluid Mechanics: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, July 2 - 10, 2001
SubjectMechanics, Mathematics
Publication Year2009
TypeTextbook
FormatPaperback
LanguageEnglish
AuthorH. Keith Moffatt, De Witt Sumners, Boris Khesin, Renzo L. Ricca, Mitchell A. Berger, Louis H. Kauffman
Number of Pages223 Pages

Dimensions

Item Height235 mm
Item Weight780 g
Item Width155 mm
Volume1973

Additional Product Features

EditorRenzo L. Ricca
Country/Region of ManufactureGermany
Title_AuthorBoris Khesin, Louis H. Kauffman, De Witt Sumners, H. Keith Moffatt, Mitchell A. Berger, Renzo L. Ricca
Series TitleLecture Notes in Mathematics
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