Lectures on topological fluid mechanics

Helmholtz's seminal paper on vortex motion (1858) marks the beginning of whatis 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 awide-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. INDICE: 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.

• ISBN: 978-3-642-00836-8
• Editorial: Springer
• Encuadernacion: Rústica
• Páginas: 250
• Fecha Publicación: 01/05/2009
• Nº Volúmenes: 1
• Idioma: Inglés