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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

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Table of Contents

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Front/Back Matter

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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]