Fluids and plasmas : [electronic resource] geometry and dynamics / Jerrold E. Marsden, editor.

By: AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Fluids and Plasmas, Geometry and Dynamics (1983 : University of Colorado, Boulder)Contributor(s): Marsden, Jerrold E | AMS-SIAM-IMS Summer Research Conference (1983 : Boulder, Colo.) | American Mathematical Society | Society for Industrial and Applied Mathematics | Institute of Mathematical StatisticsMaterial type: TextTextSeries: Contemporary mathematics (American Mathematical Society) ; v. 28.Publication details: Providence, R.I. : American Mathematical Society, c1984Description: 1 online resource (xvi, 448 p. : ill.)ISBN: 9780821876138 (online)Subject(s): Fluid dynamics -- Congresses | Plasma dynamics -- Congresses | Differentiable dynamical systems -- Congresses | Geometry, Differential -- CongressesAdditional physical formats: Fluids and plasmas :DDC classification: 532/.05 LOC classification: QA911 | .A57 1983Online resources: Contents | Contents
Contents:
Stability of Poisson-Hamilton equilibria / Alan Weinstein -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751971 Stability of rigid body motion using the energy-Casimir method / Darryl Holm, Jerrold Marsden, Tudor Ratiu and Alan Weinstein -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751972 Stability of planar multifluid plasma equilibria by Arnold's method / Darryl D. Holm -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751973 Canonical derivation of the Vlasov-Coulomb noncanonical Poisson structure / Allan N. Kaufman and Robert L. Dewar -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751974 Reduction and Hamiltonian structures on duals of semidirect product Lie algebras / Jerrold E. Marsden, Tudor Ratiu and Alan Weinstein -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751975 Gauged Lie-Poisson structures / Richard Montgomery, Jerrold Marsden and Tudor Ratiu -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751976 The Hamiltonian structure of the BBGKY hierarchy equations / Jerrold E. Marsden, Philip J. Morrison and Alan Weinstein -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751977 Particle and bracket formulations of kinetic equations / Miroslav Grmela -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751978 Noncanonical Hamiltonian field theory and reduced MHD / Jerrold E. Marsden and Philip J. Morrison -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751979 Geometry and guiding center motion / Robert G. Littlejohn -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751980 Lie-transform derivation of the gyrokinetic Hamiltonian system / Allan N. Kaufman and Bruce M. Boghosian -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751981 Poisson structures for relativistic systems (relativistic superfluids) / Meinhard E. Mayer -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751982 Diffeomorphism groups, semidirect products, and quantum theory / Gerald A. Goldin -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751983 Contour dynamics for two-dimensional flows / Norman J. Zabusky -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751984 On the nonlinear stability of circular vortex patches / Yieh Hei Wan -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751985 Vortex methods for fluid flow in two or three dimensions / J. Thomas Beale and Andrew Majda -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751986 Hamiltonian perturbation theory and water waves / Peter Olver -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751987 Results on existence and uniqueness of solutions to the Vlasov equation / Stephen Wollman -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751988 Remarks on collisionless plasmas / Robert T. Glassey and Walter A. Strauss -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751989 Toward a new kinetic theory for resonant triads / Harvey Segur -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751990 A spectral method for external viscous flows / Philippe R. Spalart -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751991 Forecasting the ocean's weather: numerical models for application to oceanographic data / Robert N. Miller -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751992 Geometry and dynamics in experiments on chaotic systems / Harry L. Swinney -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751993 Dimension estimates for attractors / John Guckenheimer -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751994 Solitary waves as fixed points of infinite-dimensional maps in an optical bistable ring cavity / D. W. McLaughlin, J. V. Moloney and A. C. Newell -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751995 Hopf bifurcation and the beam-plasma instability / John David Crawford -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751996 Some remarks on chaotic particle paths in time-periodic, three-dimensional swirling flows / Philip Holmes -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751997 A universal transition from quasiperiodicity to chaos / Eric D. Siggia -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751998 On the nonpathological behavior of Newton's method / James H. Curry and C. Eugene Wayne -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/751999 Successive bifurcations in the interaction of steady state and Hopf bifurcations / J�urgen Scheurle -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/752000 Convection in a rotating fluid layer / James W. Swift -- http://www.ams.org/conm/028/ http://dx.doi.org/10.1090/conm/028/752001
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"Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Fluids and Plasmas, Geometry and Dynamics held at the University of Colorado, Boulder, July 17-23, 1983"--T.p. verso.

Includes bibliographies.

Stability of Poisson-Hamilton equilibria / Alan Weinstein -- Stability of rigid body motion using the energy-Casimir method / Darryl Holm, Jerrold Marsden, Tudor Ratiu and Alan Weinstein -- Stability of planar multifluid plasma equilibria by Arnold's method / Darryl D. Holm -- Canonical derivation of the Vlasov-Coulomb noncanonical Poisson structure / Allan N. Kaufman and Robert L. Dewar -- Reduction and Hamiltonian structures on duals of semidirect product Lie algebras / Jerrold E. Marsden, Tudor Ratiu and Alan Weinstein -- Gauged Lie-Poisson structures / Richard Montgomery, Jerrold Marsden and Tudor Ratiu -- The Hamiltonian structure of the BBGKY hierarchy equations / Jerrold E. Marsden, Philip J. Morrison and Alan Weinstein -- Particle and bracket formulations of kinetic equations / Miroslav Grmela -- Noncanonical Hamiltonian field theory and reduced MHD / Jerrold E. Marsden and Philip J. Morrison -- Geometry and guiding center motion / Robert G. Littlejohn -- Lie-transform derivation of the gyrokinetic Hamiltonian system / Allan N. Kaufman and Bruce M. Boghosian -- Poisson structures for relativistic systems (relativistic superfluids) / Meinhard E. Mayer -- Diffeomorphism groups, semidirect products, and quantum theory / Gerald A. Goldin -- Contour dynamics for two-dimensional flows / Norman J. Zabusky -- On the nonlinear stability of circular vortex patches / Yieh Hei Wan -- Vortex methods for fluid flow in two or three dimensions / J. Thomas Beale and Andrew Majda -- Hamiltonian perturbation theory and water waves / Peter Olver -- Results on existence and uniqueness of solutions to the Vlasov equation / Stephen Wollman -- Remarks on collisionless plasmas / Robert T. Glassey and Walter A. Strauss -- Toward a new kinetic theory for resonant triads / Harvey Segur -- A spectral method for external viscous flows / Philippe R. Spalart -- Forecasting the ocean's weather: numerical models for application to oceanographic data / Robert N. Miller -- Geometry and dynamics in experiments on chaotic systems / Harry L. Swinney -- Dimension estimates for attractors / John Guckenheimer -- Solitary waves as fixed points of infinite-dimensional maps in an optical bistable ring cavity / D. W. McLaughlin, J. V. Moloney and A. C. Newell -- Hopf bifurcation and the beam-plasma instability / John David Crawford -- Some remarks on chaotic particle paths in time-periodic, three-dimensional swirling flows / Philip Holmes -- A universal transition from quasiperiodicity to chaos / Eric D. Siggia -- On the nonpathological behavior of Newton's method / James H. Curry and C. Eugene Wayne -- Successive bifurcations in the interaction of steady state and Hopf bifurcations / J�urgen Scheurle -- Convection in a rotating fluid layer / James W. Swift --

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

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