AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
Fluids and Plasmas: Geometry and Dynamics
About this Title
Jerrold E. Marsden, Editor
Publication: Contemporary Mathematics
Publication Year:
1984; Volume 28
ISBNs: 978-0-8218-5028-2 (print); 978-0-8218-7613-8 (online)
DOI: https://doi.org/10.1090/conm/028
MathSciNet review: 751970
Table of Contents
Download chapters as PDF
Front/Back Matter
Part I. Geometric-Analytic Methods
- Alan Weinstein – Stability of Poisson-Hamilton equilibria [MR 751971]
- Darryl Holm, Jerrold Marsden, Tudor Ratiu and Alan Weinstein – Stability of rigid body motion using the energy-Casimir method [MR 751972]
- Darryl D. Holm – Stability of planar multifluid plasma equilibria by Arnol′d’s method [MR 751973]
- Allan N. Kaufman and Robert L. Dewar – Canonical derivation of the Vlasov-Coulomb noncanonical Poisson structure [MR 751974]
- Jerrold E. Marsden, Tudor Ratiu and Alan Weinstein – Reduction and Hamiltonian structures on duals of semidirect product Lie algebras [MR 751975]
- Richard Montgomery, Jerrold Marsden and Tudor Ratiu – Gauged Lie-Poisson structures [MR 751976]
- Jerrold E. Marsden, Philip J. Morrison and Alan Weinstein – The Hamiltonian structure of the BBGKY hierarchy equations [MR 751977]
- Miroslav Grmela – Particle and bracket formulations of kinetic equations [MR 751978]
- Jerrold E. Marsden and Philip J. Morrison – Noncanonical Hamiltonian field theory and reduced MHD [MR 751979]
- Robert G. Littlejohn – Geometry and guiding center motion [MR 751980]
- Allan N. Kaufman and Bruce M. Boghosian – Lie-transform derivation of the gyrokinetic Hamiltonian system [MR 751981]
- Meinhard E. Mayer – Poisson structures for relativistic systems (relativistic superfluids) [MR 751982]
- Gerald A. Goldin – Diffeomorphism groups, semidirect products, and quantum theory [MR 751983]
Part II. Analytic and Numerical Methods
- Norman J. Zabusky – Contour dynamics for two-dimensional flows [MR 751984]
- Yieh Hei Wan – On the nonlinear stability of circular vortex patches [MR 751985]
- J. Thomas Beale and Andrew Majda – Vortex methods for fluid flow in two or three dimensions [MR 751986]
- Peter Olver – Hamiltonian perturbation theory and water waves [MR 751987]
- Stephen Wollman – Results on existence and uniqueness of solutions to the Vlasov equation [MR 751988]
- Robert T. Glassey and Walter A. Strauss – Remarks on collisionless plasmas [MR 751989]
- Harvey Segur – Toward a new kinetic theory for resonant triads [MR 751990]
- Philippe R. Spalart – A spectral method for external viscous flows [MR 751991]
- Robert N. Miller – Forecasting the ocean’s weather: numerical models for application to oceanographic data [MR 751992]
Part III. Bifurcation and Dynamical Systems
- Harry L. Swinney – Geometry and dynamics in experiments on chaotic systems [MR 751993]
- John Guckenheimer – Dimension estimates for attractors [MR 751994]
- D. W. McLaughlin, J. V. Moloney and A. C. Newell – Solitary waves as fixed points of infinite-dimensional maps in an optical bistable ring cavity [MR 751995]
- John David Crawford – Hopf bifurcation and the beam-plasma instability [MR 751996]
- Philip Holmes – Some remarks on chaotic particle paths in time-periodic, three-dimensional swirling flows [MR 751997]
- Eric D. Siggia – A universal transition from quasiperiodicity to chaos [MR 751998]
- James H. Curry and C. Eugene Wayne – On the nonpathological behavior of Newton’s method [MR 751999]
- Jürgen Scheurle – Successive bifurcations in the interaction of steady state and Hopf bifurcations [MR 752000]
- James W. Swift – Convection in a rotating fluid layer [MR 752001]