04392nam 2200673 450 991048047420332120170828133218.00-8218-7613-9(CKB)3240000000069553(EBL)3113096(SSID)ssj0000629308(PQKBManifestationID)11439192(PQKBTitleCode)TC0000629308(PQKBWorkID)10719225(PQKB)10051646(MiAaPQ)EBC3113096(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 ;volume 28"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 orthree 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 choas""; ""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) ;volume 28.Fluid dynamicsCongressesPlasma dynamicsCongressesDifferentiable dynamical systemsCongressesGeometry, DifferentialCongressesElectronic books.Fluid 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.),MiAaPQMiAaPQMiAaPQBOOK9910480474203321Fluids and plasmas383899UNINA