1.

Record Nr.

UNINA9910480474203321

Titolo

Fluids and plasmas : geometry and dynamics / / Jerrold E. Marsden, editor

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [1984]

©1984

ISBN

0-8218-7613-9

Descrizione fisica

1 online resource (465 p.)

Collana

Contemporary mathematics, , 0271-4132 ; ; volume 28

Disciplina

532/.05

Soggetti

Fluid dynamics

Plasma dynamics

Differentiable dynamical systems

Geometry, Differential

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"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.

Nota di bibliografia

Includes bibliographies.

Nota di contenuto

""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""