Vladimir E. Zakharov, Victor S. L'Vov, Gregory Falkovich

Kolmogorov Spectra of Turbulence I (eBook, PDF)

Wave Turbulence

• Format: PDF

Produktbeschreibung

This comprehensive introduction to a modern and rapidly developing field starts at a level suitable for graduate students and young researchers. Written by leading experts in the field, it provides a general theory of developed turbulence with a consistent description of phenomena in different media such as plasmas, solids, the atmosphere, oceans and space.

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Produktdetails

• Verlag: Springer Berlin Heidelberg
• Seitenzahl: 264
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9783642500527
• Artikelnr.: 53139962

Inhaltsangabe

0. Introduction.- 1. Equations of Motion and the Hamiltonian Formalism.- 1.1 The Hamiltonian Formalism for Waves in Continuous Media.- 1.2 The Hamiltonian Formalism in Hydrodynamics.- 1.3 Hydrodynamic-Type Systems.- 1.4 Spin Waves.- 1.5 Universal Models.- 2. Statistical Description of Weak Wave Turbulence.- 2.1 Kinetic Wave Equation.- 2.2 General Properties of Kinetic Wave Equations.- 3. Stationary Spectra of Weak Wave Turbulence.- 3.1 Kolmogorov Spectra of Weak Turbulence in Scale-Invariant Isotropic Media.- 3.2 Kolmogorov Spectra of Weak Turbulence in Nearly Scale-Invariant Media.- 3.3 Kolmogorov Spectra of Weak Turbulence in Anisotropic Media.- 3.4 Matching Kolmogorov Distributions with Pumping and Damping Regions.- 4. The Stability Problem and Kolmogorov Spectra.- 4.1 The Linearized Kinetic Equation and Neutrally Stable Modes.- 4.2 Stability Problem for Kolmogorov Spectra of Weak Turbulence.- 4.3 Nonstationary Processes and the Formation of Kolmogorov Spectra.- 5. Physical Applications.- 5.1 Weak Acoustic Turbulence.- 5.2 Wave Turbulence on Water Surfaces.- 5.3 Turbulence Spectra in Plasmas, Solids, and the Atmosphere.- 6. Conclusion.- A. Appendix.- A.1 Variational Derivatives.- A.2 Canonicity Conditions of Transformations.- A.3 Elimination of Nonresonant Terms from the Interaction Hamiltonian.- References.