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Titlebook: Topological Aspects of the Dynamics of Fluids and Plasmas; H. K. Moffatt,G. M. Zaslavsky,M. Tabor Book 1992 Springer Science+Business Medi

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J. B. Taylor reduce fertility, underlines for environmental scholars the importance of studying their subject in a multidisciplinary, collaborative setting.978-3-030-69427-2978-3-030-69428-9Series ISSN 2193-3162 Series E-ISSN 2193-3170
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Extremal Properties and Hamiltonian Structure of the Euler Equationsnol’d’s (1966.) nonlinear stability theorems and their recent extensions and applications. Finally, a class of algorithms is described that can find true energy and energy-momenta extrema (under isovortical perturbations) of the two- and three-dimensional Euler equations, when they exist.
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0168-132X merged from that Symposium, and we are grateful to John Greene and Charlie Kennel at whose encouragement the original proposal was formu­ lated. Topological flu978-90-481-4187-6978-94-017-3550-6Series ISSN 0168-132X
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Research Announcement on the “Energy” of Knotsto create an infinite energy barrier to crossings. This requires at least the potential described 1/r. below. Whether or not weaker potentials 1/r., . < 2 might yet determine gradient flows which respect topology (.., admit no crossings) is an open question.
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Force-Free Magnetic Fields with Constant Alphaical constraints has to end up as a constant-alpha force-free field. In addition to Moffatt’s conclusion, we would suggest that the relaxation of the field under topological constraints is accompanied by a change of the shape towards a more symmetric geometry of the domain.
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Stretching and Alignment in General Flow Fields: Classical Trajectories from Reynolds Number Zero to Infinityd. The processes that are a consequence of having a given velocity field, irrespective of its origin, is the subject matter of .. The processes that govern the velocity field itself is the topic of . — in the case of fluids this dynamics is governed by the Navier-Stokes equation.
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The Helicity of a Knotted Vortex Filament the spanwise vector on the ribbon relative to the Frenet triad in one passage round .. Both .(.) and [∆Θ]. are discontinuous in deformations that take . through an inflexion point. The generic behaviour in such passage through an inflexion point is analysed and clarified in §6.
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Topological Aspects of the Dynamics of Fluids and Plasmas978-94-017-3550-6Series ISSN 0168-132X
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