Fluids and plasmas : geometry and dynamics
- Providence, R.I. : American Mathematical Society, c1984
- 1 online resource (xvi, 448 p. : ill.)
- Contemporary mathematics v. 28 10983627 .
Proceedings of the AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on Fluids and Plasmas, Geometry and Dynamics held at the University of Colorado, Boulder, July 1723, 1983T.p. verso.
Includes bibliographies.
Stability of PoissonHamilton equilibria ; Stability of rigid body motion using the energyCasimir method ; Stability of planar multifluid plasma equilibria by Arnold's method ; Canonical derivation of the VlasovCoulomb noncanonical Poisson structure ; Reduction and Hamiltonian structures on duals of semidirect product Lie algebras ; Gauged LiePoisson 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 ; Lietransform derivation of the gyrokinetic Hamiltonian system ; Poisson structures for relativistic systems (relativistic superfluids) ; Diffeomorphism groups, semidirect products, and quantum theory ; Contour dynamics for twodimensional flows ; On the nonlinear stability of circular vortex patches ; Vortex methods for fluid flow in two or three 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 ; Geometry and dynamics in experiments on chaotic systems ; Dimension estimates for attractors ; Solitary waves as fixed points of infinitedimensional maps in an optical bistable ring cavity ; Hopf bifurcation and the beamplasma instability ; Some remarks on chaotic particle paths in timeperiodic, threedimensional swirling flows ; A universal transition from quasiperiodicity to chaos ; On the nonpathological behavior of Newton's method ; Successive bifurcations in the interaction of steady state and Hopf bifurcations ; Convection in a rotating fluid layer Alan Weinstein ; Darryl Holm Jerrold Marsden Tudor Ratiu and Alan Weinstein ; Darryl D Holm ; Allan N Kaufman and Robert L Dewar ; Jerrold E Marsden Tudor Ratiu and Alan Weinstein ; Richard Montgomery Jerrold Marsden and Tudor Ratiu ; Jerrold E Marsden Philip J Morrison and Alan Weinstein ; Miroslav Grmela ; Jerrold E Marsden and Philip J Morrison ; Robert G Littlejohn ; Allan N Kaufman and Bruce M Boghosian ; Meinhard E Mayer ; Gerald A Goldin ; Norman J Zabusky ; Yieh Hei Wan ; J Thomas Beale and Andrew Majda ; Peter Olver ; Stephen Wollman ; Robert T Glassey and Walter A Strauss ; Harvey Segur ; Philippe R Spalart ; Robert N Miller ; Harry L Swinney ; John Guckenheimer ; D W McLaughlin J V Moloney and A C Newell ; John David Crawford ; Philip Holmes ; Eric D Siggia ; James H Curry and C Eugene Wayne ; Jurgen Scheurle ; James W Swift
9780821876138 (online)
Differentiable dynamical systems
Fluid dynamics
Geometry, Differential
Plasma dynamics
Proceedings of the AMSIMSSIAM Joint Summer Research Conference in the Mathematical Sciences on Fluids and Plasmas, Geometry and Dynamics held at the University of Colorado, Boulder, July 1723, 1983T.p. verso.
Includes bibliographies.
Stability of PoissonHamilton equilibria ; Stability of rigid body motion using the energyCasimir method ; Stability of planar multifluid plasma equilibria by Arnold's method ; Canonical derivation of the VlasovCoulomb noncanonical Poisson structure ; Reduction and Hamiltonian structures on duals of semidirect product Lie algebras ; Gauged LiePoisson 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 ; Lietransform derivation of the gyrokinetic Hamiltonian system ; Poisson structures for relativistic systems (relativistic superfluids) ; Diffeomorphism groups, semidirect products, and quantum theory ; Contour dynamics for twodimensional flows ; On the nonlinear stability of circular vortex patches ; Vortex methods for fluid flow in two or three 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 ; Geometry and dynamics in experiments on chaotic systems ; Dimension estimates for attractors ; Solitary waves as fixed points of infinitedimensional maps in an optical bistable ring cavity ; Hopf bifurcation and the beamplasma instability ; Some remarks on chaotic particle paths in timeperiodic, threedimensional swirling flows ; A universal transition from quasiperiodicity to chaos ; On the nonpathological behavior of Newton's method ; Successive bifurcations in the interaction of steady state and Hopf bifurcations ; Convection in a rotating fluid layer Alan Weinstein ; Darryl Holm Jerrold Marsden Tudor Ratiu and Alan Weinstein ; Darryl D Holm ; Allan N Kaufman and Robert L Dewar ; Jerrold E Marsden Tudor Ratiu and Alan Weinstein ; Richard Montgomery Jerrold Marsden and Tudor Ratiu ; Jerrold E Marsden Philip J Morrison and Alan Weinstein ; Miroslav Grmela ; Jerrold E Marsden and Philip J Morrison ; Robert G Littlejohn ; Allan N Kaufman and Bruce M Boghosian ; Meinhard E Mayer ; Gerald A Goldin ; Norman J Zabusky ; Yieh Hei Wan ; J Thomas Beale and Andrew Majda ; Peter Olver ; Stephen Wollman ; Robert T Glassey and Walter A Strauss ; Harvey Segur ; Philippe R Spalart ; Robert N Miller ; Harry L Swinney ; John Guckenheimer ; D W McLaughlin J V Moloney and A C Newell ; John David Crawford ; Philip Holmes ; Eric D Siggia ; James H Curry and C Eugene Wayne ; Jurgen Scheurle ; James W Swift
9780821876138 (online)
Differentiable dynamical systems
Fluid dynamics
Geometry, Differential
Plasma dynamics