TY - DATA AU - Marsden Jerrold E TI - Fluids and plasmas: geometry and dynamics T2 - Contemporary mathematics SN - 9780821876138 (online) PY - 1984/// CY - Providence, R.I. PB - American Mathematical Society KW - Differentiable dynamical systems KW - Fluid dynamics KW - Geometry, Differential KW - Plasma dynamics N1 - Proceedings of the AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on Fluids and Plasmas, Geometry and Dynamics held at the University of Colorado, Boulder, July 1723, 1983T.p. verso; Includes bibliographies; Stability of PoissonHamilton equilibria ; Stability of rigid body motion using the energyCasimir method ; Stability of planar multifluid plasma equilibria by Arnold's method ; Canonical derivation of the VlasovCoulomb noncanonical Poisson structure ; Reduction and Hamiltonian structures on duals of semidirect product Lie algebras ; Gauged LiePoisson structures ; The Hamiltonian structure of the BBGKY hierarchy equations ; Particle and bracket formulations of kinetic equations ; Noncanonical Hamiltonian field theory and reduced MHD ; Geometry and guiding center motion ; Lietransform derivation of the gyrokinetic Hamiltonian system ; Poisson structures for relativistic systems (relativistic superfluids) ; Diffeomorphism groups, semidirect products, and quantum theory ; Contour dynamics for twodimensional flows ; On the nonlinear stability of circular vortex patches ; Vortex methods for fluid flow in two or three dimensions ; Hamiltonian perturbation theory and water waves ; Results on existence and uniqueness of solutions to the Vlasov equation ; Remarks on collisionless plasmas ; Toward a new kinetic theory for resonant triads ; A spectral method for external viscous flows ; Forecasting the ocean's weather: numerical models for application to oceanographic data ; Geometry and dynamics in experiments on chaotic systems ; Dimension estimates for attractors ; Solitary waves as fixed points of infinitedimensional maps in an optical bistable ring cavity ; Hopf bifurcation and the beamplasma instability ; Some remarks on chaotic particle paths in timeperiodic, threedimensional swirling flows ; A universal transition from quasiperiodicity to chaos ; On the nonpathological behavior of Newton's method ; Successive bifurcations in the interaction of steady state and Hopf bifurcations ; Convection in a rotating fluid layer; Alan Weinstein ; Darryl Holm Jerrold Marsden Tudor Ratiu and Alan Weinstein ; Darryl D Holm ; Allan N Kaufman and Robert L Dewar ; Jerrold E Marsden Tudor Ratiu and Alan Weinstein ; Richard Montgomery Jerrold Marsden and Tudor Ratiu ; Jerrold E Marsden Philip J Morrison and Alan Weinstein ; Miroslav Grmela ; Jerrold E Marsden and Philip J Morrison ; Robert G Littlejohn ; Allan N Kaufman and Bruce M Boghosian ; Meinhard E Mayer ; Gerald A Goldin ; Norman J Zabusky ; Yieh Hei Wan ; J Thomas Beale and Andrew Majda ; Peter Olver ; Stephen Wollman ; Robert T Glassey and Walter A Strauss ; Harvey Segur ; Philippe R Spalart ; Robert N Miller ; Harry L Swinney ; John Guckenheimer ; D W McLaughlin J V Moloney and A C Newell ; John David Crawford ; Philip Holmes ; Eric D Siggia ; James H Curry and C Eugene Wayne ; Jurgen Scheurle ; James W Swift UR - http://www.ams.org/conm/028/ ER -