TOPOLOGICAL METHODS IN HYDRODYNAMICS (Relié)

Boris-A Khesin, Vladimir Arnold

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  • Springer

  • Paru le : 11/01/2000
  • 1 million de livres à découvrir
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Topological hydrodynamics is a young branch of mathematics studying topological features of flows with complicated trajectories, as well as their applications to fluid motions. It is situated at the crossroad of hydrodynamical stability theory, Riemannian and symplectic geometry, magnetohydrodynamics, theory of Lie algebras and Lie groups, knot theory, and dynamical systems. Applications of this approach include topological classification of steady fluid flows, descriptions of the Korteweg-de Vries equation as a geodesic flow, and results on Riemannian geometry of diffeomorphism groups, explaining, in particular, why longterm dynamical weather forecasts are not reliable. Topological Methods in Hydrodynamics is the first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. The necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures. The book is accessible to graduate students as well as to pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems, and differential geometry.
    • Group and Hamiltonian Structures of Fluid Dynamics
    • Topology of Steady Fluid Flows
    • Topological Properties of Magnetic and Vorticity Fields
    • Differential Geometry of Diffeomorphism Groups
    • Kinematic Fast Dynamo Problems
    • Dynamical Systems with Hydrodynamical Background.
  • Date de parution : 11/01/2000
  • Editeur : Springer
  • Collection : applied mathematical sciences
  • ISBN : 0-387-94947-X
  • EAN : 9780387949475
  • Présentation : Relié
  • Nb. de pages : 376 pages
  • Poids : 0.675 Kg
  • Dimensions : 16,0 cm × 24,1 cm × 2,3 cm

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Boris-A Khesin et Vladimir Arnold - TOPOLOGICAL METHODS IN HYDRODYNAMICS.
TOPOLOGICAL METHODS IN HYDRODYNAMICS
99,99 €
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