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Book Cover
E-book
Author Oraevsky, V. N

Title Non-Linear Instabilities in Plasmas and Hydrodynamics
Published London : CRC Press, 1999

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Description 1 online resource (175 pages)
Series Series in Plasma Physics ; v. 5
Series in plasma physics.
Contents Cover; Half Title; Title Page; Copyright Page; Table of Contents; Preface; 1: Direct nonlinear instabilities; 1.1 Parametric decay instability; 1.2 Decay instabilities in media with wave-modulated phase velocity; qualitative theory and principal features of PDI; 1.3 PDI of magnetohydrodynamic waves (quantitative theory); 1.4 Modulation instability; 1.5 Explosive instability of negative-energy waves; 2: Induced instabilities, the symmetry and the evolution of non-equilibrium systems; 2.1 Systems with multiparametric non-equilibrium
2.2 Group methods of analyzing secondary quasi-stationary states2.2.1 Introduction; 2.2.2 Scaling transformation group; 2.2.3 Supersymmetry group; 2.3 Effective collision frequencies in turbulent media; 2.4 Induced drift instabilities; 3: External noise and stability of plasmas; 3.1 Introduction; 3.2 Fluctuational chaos; 3.3 Universal noise-induced plasma instability and accelerated fluctuational dynamics in the vicinity of a point of instability; 3.4 Anomalous diffusion of particles; 3.5 Fluctuations of transfer coefficients in the plasma and in hydrodynamics
4: Non-standard evolution of turbulent media4.1 Introduction; 4.2 Drift instability cascade and energy transfer in ionospheric turbulence; 4.3 Wave-turbulent instability; 5: The helical mechanism of large-scale structure generation in continuous media; 5.1 Introduction; 5.2 Helical structures and helical mechanisms of generation in hydrodynamics; 5.2.1 On the role of helicity, on the similarity and differences between the magnetic and vortex dynamo in turbulent media; 5.2.2 Generation of large-scale helical vortices in convective media
5.2.3 Helical mechanism of generation of large-scale structures in non-convective hydrodynamic media5.3 Hydrodynamic α-effect in compressible media; 5.3.1 Introduction; 5.3.2 Qualitative discussion; 5.3.3 Closure of averaged equation; 5.3.4 α as a function of compressibility coefficient: limiting cases; 5.3.5 Large-scale instability; 5.3.6 Discussion; 5.4 Large-scale vortical instability and convection: further progress; 5.4.1 Equation of vortical instability due to convective turbulence and Coriolis force; 5.4.2 Rayleigh-Benar convection in turbulent fluid at very large Reynolds numbers
5.5 Reverse energy cascade in uniform turbulent shear flow5.5.1 Introduction; 5.5.2 Formulation of the problem. Basic equations. Homogeneous helical anisotropic flow; 5.5.3 Closing the equations for perturbations of turbulent shear flow in the second-order correlation approximation; 5.5.4 Interval instability of turbulent Couette flow; 5.6 Helicity as a possible physical mechanism for the amplification of typhoon-type vortical perturbations in the atmosphere and of the modulation of rotation frequency of the Earth; 5.6.1 Introductory remarks
Notes 5.6.2 Qualitative analysis of the role played by helicity in typhoon generation
Print version record
Subject Plasma instabilities.
Turbulence.
Nonlinear theories.
Nonlinear theories.
Plasma instabilities.
Turbulence.
Form Electronic book
Author Oraevsky, V. N
Pungin, V. G
ISBN 9781351428200
1351428209