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 referred to as topological fluid mechanics.After one hundred fifty years of labor, the sector has grown significantly. within the final numerous many years unforeseen advancements have given topological fluid mechanics new impetus, making the most of the amazing growth in knot idea and geometric topology at the one hand, and in mathematical and computational fluid dynamics at the different.
This quantity features a wide-ranging choice of updated, useful examine papers written by way of the most eminent specialists within the box. subject matters variety from primary points of mathematical fluid mechanics, together with topological vortex dynamics and magnetohydrodynamics, integrability matters, Hamiltonian constructions and singularity formation, to DNA tangles and knotted DNAs in sedimentation. a considerable introductory bankruptcy on knots and hyperlinks, masking parts of contemporary braid idea and knot polynomials, in addition to extra complex themes in knot type, offers a useful addition to this material.
Read Online or Download 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) PDF
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Extra info for 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)
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