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Fluids and Plasmas: Geometry and Dynamics
 
Edited by: Jerrold E. Marsden
Fluids and Plasmas: Geometry and Dynamics
eBook ISBN:  978-0-8218-7613-8
Product Code:  CONM/28.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
Fluids and Plasmas: Geometry and Dynamics
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Fluids and Plasmas: Geometry and Dynamics
Edited by: Jerrold E. Marsden
eBook ISBN:  978-0-8218-7613-8
Product Code:  CONM/28.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 28; 1984; 448 pp
    MSC: Primary 58; Secondary 76
  • Table of Contents
     
     
    • Part I. Geometric-Analytic Methods [ MR 751970 ]
    • 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 [ MR 751970 ]
    • 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 [ MR 751970 ]
    • 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 ]
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 28; 1984; 448 pp
MSC: Primary 58; Secondary 76
  • Part I. Geometric-Analytic Methods [ MR 751970 ]
  • 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 [ MR 751970 ]
  • 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 [ MR 751970 ]
  • 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 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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