LEADER 04317nam 2200637 450 001 9910827449103321 005 20220901055630.0 010 $a0-8218-7613-9 035 $a(CKB)3240000000069553 035 $a(EBL)3113096 035 $a(SSID)ssj0000629308 035 $a(PQKBManifestationID)11439192 035 $a(PQKBTitleCode)TC0000629308 035 $a(PQKBWorkID)10719225 035 $a(PQKB)10051646 035 $a(MiAaPQ)EBC3113096 035 $a(RPAM)2367534 035 $a(PPN)197103456 035 $a(EXLCZ)993240000000069553 100 $a19840227h19841984 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aFluids and plasmas $egeometry and dynamics /$fJerrold E. Marsden, editor 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[1984] 210 4$dİ1984 215 $a1 online resource (465 p.) 225 1 $aContemporary mathematics,$x0271-4132 ;$v28$x0271-4132 300 $a"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. 311 $a0-8218-5028-8 320 $aIncludes bibliographies. 327 $aContents -- 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 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 -- 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 chaos -- 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. 410 0$aContemporary mathematics (American Mathematical Society).$v28$x0271-4132 606 $aFluid dynamics$vCongresses 606 $aPlasma dynamics$vCongresses 606 $aDifferentiable dynamical systems$vCongresses 606 $aGeometry, Differential$vCongresses 615 0$aFluid dynamics 615 0$aPlasma dynamics 615 0$aDifferentiable dynamical systems 615 0$aGeometry, Differential 676 $a532/.05 702 $aMarsden$b Jerrold E. 712 02$aAmerican Mathematical Society, 712 02$aSociety for Industrial and Applied Mathematics, 712 02$aInstitute of Mathematical Statistics, 712 12$aAMS-SIAM-IMS Summer Research Conference$f(1983 :$eBoulder, Colo.), 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910827449103321 996 $aFluids and plasmas$9383899 997 $aUNINA