| Description |
1 online resource (465 pages) : illustrations |
| Series |
Contemporary mathematics, 0271-4132 ; volume 28 |
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Contemporary mathematics (American Mathematical Society) ; volume 28.
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| Contents |
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 |
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Particle and bracket formulations of kinetic equationsNoncanonical 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 |
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Hamiltonian perturbation theory and water wavesResults 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 |
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Solitary waves as fixed points of infinite-dimensional maps in an optical bistable ring cavityHopf 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 |
| Notes |
"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 |
| Bibliography |
Includes bibliographical references |
| Notes |
English |
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Print version record |
| Subject |
Fluid dynamics -- Congresses
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Plasma dynamics -- Congresses
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Differentiable dynamical systems -- Congresses
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Geometry, Differential -- Congresses
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Differentiable dynamical systems
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Fluid dynamics
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Geometry, Differential
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Plasma dynamics
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| Genre/Form |
Conference papers and proceedings
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| Form |
Electronic book
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| Author |
Marsden, Jerrold E., editor
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American Mathematical Society, issuing body
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Society for Industrial and Applied Mathematics, issuing body.
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Institute of Mathematical Statistics, issuing body.
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AMS-SIAM-IMS Summer Research Conference (1983 : Boulder, Colo.) issuing body
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| ISBN |
9780821876138 |
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0821876139 |
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