Fluids and Plasmas: Geometry and Dynamics (Contemporary Mathematics)

Fluids and Plasmas: Geometry and Dynamics (Contemporary Mathematics)

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Contents

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

Product Details

  • ISBN13: 9780821850282
  • Format: Paperback
  • Number Of Pages: 448
  • ID: 9780821850282
  • ISBN10: 0821850288

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