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

Helmholtz's seminal paper on vortex movement (1858) marks the start of what's now known as topological fluid mechanics.After a hundred and fifty years of labor, the sector has grown significantly. within the final numerous many years unforeseen advancements have given topological fluid mechanics new impetus, profiting from the awesome growth in knot idea and geometric topology at the one hand, and in mathematical and computational fluid dynamics at the different.



This quantity incorporates a wide-ranging choice of up to date, useful learn papers written via the most eminent specialists within the box. subject matters diversity from basic facets of mathematical fluid mechanics, together with topological vortex dynamics and magnetohydrodynamics, integrability concerns, Hamiltonian buildings and singularity formation, to DNA tangles and knotted DNAs in sedimentation. a considerable introductory bankruptcy on knots and hyperlinks, overlaying components of recent braid concept and knot polynomials, in addition to extra complex issues in knot category, presents a useful addition to this material.

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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 (Lecture Notes in Mathematics) by Mitchell A. Berger,Louis H. Kauffman,Boris Khesin,H. Keith Moffatt,Renzo L. Ricca,De Witt Sumners


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