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Fluids and Plasmas: Geometry and Dynamics
Edited by: Jerrold E. Marsden
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Contemporary Mathematics
1984; 448 pp; softcover
Volume: 28
Reprint/Revision History:
third 1988 printing
ISBN-10: 0-8218-5028-8
ISBN-13: 978-0-8218-5028-2
List Price: US$60
Member Price: US$48
Order Code: CONM/28
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Table of Contents

Part I. Geometric-Analytic Methods
  • A. Weinstein -- Stability of Poisson-Hamilton equilibria
  • D. Holm, J. Marsden, T. Ratiu, and A. Weinstein -- Stability of rigid body motion using the energy-Casimir method
  • D. Holm -- Stability of planar multifluid plasma equilibria by Arnold's method
  • A. Kaufman and R. Dewar -- Canonical derivation of the Vlasov-Coulomb noncanonical Poisson structure
  • J. Marsden, T. Ratiu, and A. Weinstein -- Reduction and Hamiltonian structures on duals of semidirect product Lie algebras
  • R. Montgomery, J. Marsden, and T. Ratiu -- Gauged Lie-Poisson structures
  • J. Marsden, P. Morrison, and A. Weinstein -- The Hamiltonian structure of the BBGKY hierarchy equations
  • M. Grmela -- Particle and bracket formulations of kinetic equations
  • J. Marsden and P. Morrison -- Noncanonical Hamiltonian field theory and reduced MHD
  • R. Littlejohn -- Geometry and guiding center motion
  • A. Kaufman and B. Boghosian -- Lie-transform derivation of the gyrokinetic Hamiltonian system
  • M. Mayer -- Poisson structures for relativistic systems
  • G. Goldin -- Diffeomorphism groups, semidirect products and quantum theory
Part II. Analytic and Numerical Methods
  • N. Zabusky -- Contour dynamics for two dimensional flows
  • Y. Wan -- On the nonlinear stability of circular vortex patches
  • T. Beale and A. Majda -- Vortex methods for fluid flow in two or three dimensions
  • P. Olver -- Hamiltonian perturbation theory and water waves
  • S. Wollman -- Results on existence and uniqueness of solutions to the Vlasov equation
  • R. Glassey and W. Strauss -- Remarks on collisionless plasmas
  • H. Segur -- Toward a new kinetic theory for resonant triads
  • P. Spalart -- A spectral method for external viscous flows
  • R. Miller -- Forecasting the ocean's weather: numerical models for application to oceanographic data
Part III. Bifurcation and Dynamical Systems
  • H. Swinney -- Geometry and dynamics in experiments on chaotic systems
  • J. Guckenheimer -- Dimension estimates for attractors
  • D. McLaughlin, J. Moloney, and A. Newell -- Solitary waves as fixed points of infinite-dimensional maps in an optical bistable ring cavity
  • J. Crawford -- Hopf bifurcation and the beam-plasma instability
  • P. Holmes -- Some remarks on chaotic particle paths in time-periodic, three-dimensional swirling flows
  • E. Siggia -- A universal transition from quasi-periodicity to chaos
  • J. Curry and E. Wayne -- On the nonpathological behavior of Newton's method
  • J. Scheurle -- Successive bifurcations in the interaction of steady state and Hopf bifurcation
  • J. Swift -- Convection in a rotating fluid layer
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