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Kolmogorov-Zakharov spectra of turbu...

Zakharov, V. E.

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Kolmogorov-Zakharov spectra of turbulence = wave turbulence /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Kolmogorov-Zakharov spectra of turbulence/ by Vladimir Zakharov, Victor Lvov, Gregory Falkovich.
Reminder of title:	wave turbulence /
Author:	Zakharov, V. E.
other author:	L'vov, V. S.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xviii, 288 p. :ill., digital ;24 cm.
[NT 15003449]:	O. Introduction -- 1. Equations of Motion and the Hamiltonian Formalism -- 2. Statistical Description of Weak Wave Turbulence -- 3. Stationary Spectra of Weak Wave Thrbulence -- 4. The Stability Problem and Kolmogorov Spectra -- 5. Physical Applications -- 6. Conclusion -- A. Appendix -- A.1 Variational Derivatives -- A.2 Canonicity Conditions of Transformations -- A.3 Elimination of Nonresonant Terms from the Interaction Hamiltonian -- A.4 Feynman rules and derivation of the renormalized kinetic equations -- A.5 Liouville approach and derivation of the Master Equation.
Contained By:	Springer Nature eBook
Subject:	Turbulence - Spectra. -
Online resource:	https://doi.org/10.1007/978-3-031-82729-7
ISBN:	9783031827297

Kolmogorov-Zakharov spectra of turbulence = wave turbulence /
Zakharov, V. E.

Kolmogorov-Zakharov spectra of turbulencewave turbulence /[electronic resource] :by Vladimir Zakharov, Victor Lvov, Gregory Falkovich. - Second edition. - Cham :Springer Nature Switzerland :2025. - xviii, 288 p. :ill., digital ;24 cm. - Graduate texts in physics,1868-4521. - Graduate texts in physics..

O. Introduction -- 1. Equations of Motion and the Hamiltonian Formalism -- 2. Statistical Description of Weak Wave Turbulence -- 3. Stationary Spectra of Weak Wave Thrbulence -- 4. The Stability Problem and Kolmogorov Spectra -- 5. Physical Applications -- 6. Conclusion -- A. Appendix -- A.1 Variational Derivatives -- A.2 Canonicity Conditions of Transformations -- A.3 Elimination of Nonresonant Terms from the Interaction Hamiltonian -- A.4 Feynman rules and derivation of the renormalized kinetic equations -- A.5 Liouville approach and derivation of the Master Equation.

Starting at the level of graduate students, this book offers a comprehensive introduction to a rapidly developing field of turbulence. It also presents the state of the art of the theory of wave turbulence in diverse media for researchers looking for a formalism to solve existing problems or for new research subjects and ideas. The book provides a general theory of developed wave turbulence in different media: plasmas, solids, atmosphere, oceans and space. The presentation starts with a simple and intuitive dimensional analysis and proceeds to a rigorous analytic theory with exact solutions for the stationary spectra of turbulence, stability theory of such spectra, description of nonstationary regimes and matching spectra with pumping and dissipation regions. The reader is provided with the necessary tools to study nonlinear waves and turbulence: Hamiltonian formalism, statistical description, derivation of kinetics equations and methods of finding their steady and non-steady solutions. In this second edition the book is brought up to date both in theoretical and experimental/observational aspects. In particular, the authors have updated and revised the description of nonstationary turbulence, turbulent entropy production, etc, and added discussions of master equation and several cases of strong turbulence and nonlocal cascades. The book now includes excercises, some with solutions.

ISBN: 9783031827297

Standard No.: 10.1007/978-3-031-82729-7doiSubjects--Topical Terms:

3782845
Turbulence
--Spectra.

LC Class. No.: QC157

Dewey Class. No.: 532.0527

Kolmogorov-Zakharov spectra of turbulence = wave turbulence /
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100 1 $a Zakharov, V. E. $3 3782842
245 1 0 $a Kolmogorov-Zakharov spectra of turbulence $h [electronic resource] : $b wave turbulence / $c by Vladimir Zakharov, Victor Lvov, Gregory Falkovich.
250 $a Second edition.
260 $a Cham : $b Springer Nature Switzerland : $b Imprint: Springer, $c 2025.
300 $a xviii, 288 p. : $b ill., digital ; $c 24 cm.
490 1 $a Graduate texts in physics, $x 1868-4521
505 0 $a O. Introduction -- 1. Equations of Motion and the Hamiltonian Formalism -- 2. Statistical Description of Weak Wave Turbulence -- 3. Stationary Spectra of Weak Wave Thrbulence -- 4. The Stability Problem and Kolmogorov Spectra -- 5. Physical Applications -- 6. Conclusion -- A. Appendix -- A.1 Variational Derivatives -- A.2 Canonicity Conditions of Transformations -- A.3 Elimination of Nonresonant Terms from the Interaction Hamiltonian -- A.4 Feynman rules and derivation of the renormalized kinetic equations -- A.5 Liouville approach and derivation of the Master Equation.
520 $a Starting at the level of graduate students, this book offers a comprehensive introduction to a rapidly developing field of turbulence. It also presents the state of the art of the theory of wave turbulence in diverse media for researchers looking for a formalism to solve existing problems or for new research subjects and ideas. The book provides a general theory of developed wave turbulence in different media: plasmas, solids, atmosphere, oceans and space. The presentation starts with a simple and intuitive dimensional analysis and proceeds to a rigorous analytic theory with exact solutions for the stationary spectra of turbulence, stability theory of such spectra, description of nonstationary regimes and matching spectra with pumping and dissipation regions. The reader is provided with the necessary tools to study nonlinear waves and turbulence: Hamiltonian formalism, statistical description, derivation of kinetics equations and methods of finding their steady and non-steady solutions. In this second edition the book is brought up to date both in theoretical and experimental/observational aspects. In particular, the authors have updated and revised the description of nonstationary turbulence, turbulent entropy production, etc, and added discussions of master equation and several cases of strong turbulence and nonlocal cascades. The book now includes excercises, some with solutions.
650 0 $a Turbulence $x Spectra. $3 3782845
650 0 $a Waves. $3 535888
650 0 $a Spectrum analysis. $3 520440
650 0 $a Nonlinear theories. $3 524352
650 1 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
650 2 4 $a Turbulence in plasmas. $3 3595790
650 2 4 $a Astrophysics. $3 535904
650 2 4 $a Geophysics. $3 535228
650 2 4 $a Engineering Fluid Dynamics. $3 891349
650 2 4 $a Complex Systems. $3 1566441
700 1 $a L'vov, V. S. $3 3782843
700 1 $a Falkovich, G. $3 3782844
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Graduate texts in physics. $x 1868-4513. $3 1314540
856 4 0 $u https://doi.org/10.1007/978-3-031-82729-7
950 $a Physics and Astronomy (SpringerNature-11651)