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- W435595514 abstract "Introduction. Authors. I HAMIELTONIIAN SYSTEMS. 1 Turbulence in Hqmiltonian Systems by V. V. Zakharov. 1.1 Introduction. 1.2 Some exqmples. 1.3 Classical hydrodynamic turbulence. 1.4 Order from chaos. 1.5 Bibliography. 2 Revised Universality Concept in the Turbulence Theory by G.E. Falkovich. 2.1 Steady spectra and their instabilities. 2.2 Multi-flux spectra. 2.3 Four-wave case. 2.4 Turbulence of incompressible fluid. 2.5 Summary. 2.6 Bibliography. 3 Wave Spectra of Developed Seas by R.E.Glazman 3.1 Introduction. 3.2 Buoy observations of developed seas. 3.3 Shape of the wave spectrum. 3.4 Spatially inhomogeneous wave field. 3.5 Effect of energy and action advection. 3.6 Gravity wave turbulence. 3.7 Conclusions. 3.8 Bibliography. 4 Gravity Waves in the Large Scales of the Atmosphere by J. Herring 4.1 Introduction. 4.2 Stratified vs. 2-D turbulence. 4.3 Physics of 2-D turbulence. 4.4 Numerical experiments. 4.5 Concluding comments. 4.6 Bibliography. 5 Physical Applications of Wave Turbulence: Wind Waves and Classical Collective Modes by A. Larraza. 5.1 Introduction. 5.2 Scaling for wave turbulence. 5.3 Collective modes. 5.4 Experimental Perspectives. 5.5 Bibliography. 6 Strong and Weak Turbulence for Gravity Waves and the Cubic Schrodinger Equation by H.H. Shen. 6.1 Introduction. 6.2 Gravity waves: Hopf formulation. 6.3 Statistical steady states. 6.4 Cubic Schr6dinger equation. 6.5 Rossby waves: statistical steady states. 6.6 Realizability. 6.7 Conclusion. 6.8 Bibliography. 7 Hidden Synunetries of Hamiltonian Systems over Holomorphic Curves by S.J. Alber. 7.1 Introduction. 7.2 Hidden Hamiltonians. 7.3 Lineax Hamiltonian flows. 7.4 Linear collections of curves. 7.5 Triangular collections of curves. 7.6 Multiparameter and discrete systems. 7.7 Vector bundles of Hamiltonian algebras. 7.8 Bibliography. II FLOW STABILITY. 8 Chaotic Motion in Unsteady Vortical Flows by J. J. Li 8.1 Introduction. 8.2 Vortex triplet. 8.3 Resulting chaotic motion. 8.4 Concluding remarks. 8.5 Bibliography. 9. Oblique Instability Waves in Nearly Parallel Shear Flows by M.E. Goldstein and S.S. Lee. 9.1 Introduction. 9.2 Analysis of outer lineax flow. 9.3 Critical layer analysis. 9.4 Mean flow change. 9.5 Pure oblique mode interaction. 9.6 Pure paxametric resonance interaction. 9.7 Parametric resonance. 9.8 Fully interactive case. 9.9 Bibliography. 10 Modeling Turbulence by Systems of Coupled Gyrostats by A. Gluhovsky. 10.1 Introduction. 10.2 Volterra gyrostat. 10.3 Coupled gyrostats in GFD problems. 10.4 Cascade of gyrostats. 10.5 Conclusion. 10.6 Bibliography. III NONLINEAR WAVES IN CONDENSED - MATTER 11 Soliton Turbulence in Nonlinear Optical Phenomena by A.B. Aceves. 11.1 Introduction. 11.2 Governing equations and dynamics. 11.3 Soliton-like solutions. 11.4 Bibliography. 12 Solitons Propagation in Optical Fibers with Random Parameters by D. Gurarie and P. Mishnayevskly. 12.1 Introduction. 12.2 Hamiltonian structure. 12.3 Soliton-like solutions." @default.
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