By H. K. Moffatt (ed.), G. M. Zaslavsky (ed.), P. Comte (ed.), M. Tabor (ed.)
The intimate dating among third-dimensional vortex dynamics and topology used to be famous as early as 1869 through Lord Kelvin, whose discoveries in fluid dynamics resulted in the improvement of knot concept as a well-defined department of topology. it's only within the final 25 years, notwithstanding, with the parallel stimulus of the improvement of magnetohydrodynamics in astrophysical and geophysical contexts, that the nice strength of topological innovations in fluid and plasma has been absolutely famous. This quantity offers a complete survey of this interdisciplinary box. The correct historical past in knot thought, move kinematics, dynamo conception, and leisure less than topological constraints, is supplied via the introductory chapters of half I. those topics are constructed within the next papers that are grouped below the subsequent headings: half II: rest and minimal power States; half III: Helicity, Linkage, and move Topology; half IV: The Euler Equations: Extremal homes and Finite-Time Singularities; half V: Vortex Interactions and the constitution of Turbulence; half VI: Chaos, Instability, and Dynamo idea
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