04317nam 2200637 450 991082744910332120220901055630.00-8218-7613-9(CKB)3240000000069553(EBL)3113096(SSID)ssj0000629308(PQKBManifestationID)11439192(PQKBTitleCode)TC0000629308(PQKBWorkID)10719225(PQKB)10051646(MiAaPQ)EBC3113096(RPAM)2367534(PPN)197103456(EXLCZ)99324000000006955319840227h19841984 uy| 0engur|n|---|||||txtccrFluids and plasmas geometry and dynamics /Jerrold E. Marsden, editorProvidence, Rhode Island :American Mathematical Society,[1984]©19841 online resource (465 p.)Contemporary mathematics,0271-4132 ;280271-4132"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"--Title page verso.0-8218-5028-8 Includes bibliographies.Contents -- Introduction -- Conference Participants -- Part I. Geometric-Analytic Methods -- Stability of Poisson-Hamilton equilibria -- Stability of rigid body motion using the energy-Casimir method -- Stability of planar multifluid plasma equilibria by Arnold's method -- Canonical derivation of the Vlasov-Coulomb noncanonical Poisson structure -- Reduction and Hamiltonian structures on duals of semidirect product Lie algebras -- Gauged Lie-Poisson 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 -- Lie-transform derivation of the gyrokinetic Hamiltonian system -- Poisson structures for relativistic systems -- Diffeomorphism groups, semidirect products and quantum theory -- Part II. Analytic and Numerical Methods -- Contour dynamics for two dimensional 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 -- Part III. Bifurcation and Dynamical Systems -- Geometry and dynamics in experiments on chaotic systems -- Dimension estimates for attractors -- Solitary waves as fixed points of infinite-dimensional maps in an optical bistable ring cavity -- Hopf bifurcation and the beam-plasma instability -- Some remarks on chaotic particle paths in time-periodic, three-dimensional swirling flows -- A universal transition from quasi-periodicity to chaos -- On the nonpathological behavior of Newton's method -- Successive bifurcations in the interaction of steady state and Hopf bifurcation -- Convection in a rotating fluid layer.Contemporary mathematics (American Mathematical Society).280271-4132Fluid dynamicsCongressesPlasma dynamicsCongressesDifferentiable dynamical systemsCongressesGeometry, DifferentialCongressesFluid dynamicsPlasma dynamicsDifferentiable dynamical systemsGeometry, Differential532/.05Marsden Jerrold E.American Mathematical Society,Society for Industrial and Applied Mathematics,Institute of Mathematical Statistics,AMS-SIAM-IMS Summer Research Conference(1983 :Boulder, Colo.),MiAaPQMiAaPQMiAaPQBOOK9910827449103321Fluids and plasmas383899UNINA