ENGLISH

Lectures on Topological Fluid Mechanics

By Louis H. Kauffman , Boris Khesin , Mitchell A. Berger , H. Keith Moffatt , Renzo L. Ricca , De Witt Sumners (auth.) , Renzo L. Ricca (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2009
ISBN
3642008364, 9783642008368
DOI
10.1007/978-3-642-00837-5
Language
english
Format
PDF
Filesize
4 MB (4482514 bytes)
Series
Lecture Notes in Mathematics 1973 Fondazione C.I.M.E., Firenze
Edition
1
Pages
223\240
Time added
2009-08-06 05:14:26
FluidsMechanicsThermodynamics;Dynamical Systems and Ergodic Theor

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.

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