國立虎尾科技大學 |

Kolmogorov-Zakharov spectra of turbulence = wave turbulence /

Record Type:	Language materials, printed : 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:	Falkovich, G.
Published:	Cham :Springer Nature Switzerland : : 2025.,
Description:	xviii, 288 p. :ill., digital ; : 24 cm.;
Contained By:	Springer Nature eBook
Subject:	Complex Systems. -
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:

888664
Complex Systems.

LC Class. No.: QC157

Dewey Class. No.: 532.0527

Kolmogorov-Zakharov spectra of turbulence = wave turbulence /
LDR:03074nam a2200349 a 4500 001 1161646
003 DE-He213
005 20250330141116.0
006 m d
007 cr nn 008maaau
008 251029s2025 sz s 0 eng d
020 $a 9783031827297 $q (electronic bk.)
020 $a 9783031827280 $q (paper)
024 7 $a 10.1007/978-3-031-82729-7 $2 doi
035 $a 978-3-031-82729-7
040 $a GP $c GP
041 0 $a eng
050 4 $a QC157
072 7 $a PHU $2 bicssc
072 7 $a SCI040000 $2 bisacsh
072 7 $a PHU $2 thema
082 0 4 $a 532.0527 $2 23
090 $a QC157 $b .Z21 2025
100 1 $a Zakharov, V. E. $3 1488596
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 : $c 2025. $b Springer Nature Switzerland : $b Imprint: Springer,
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 2 4 $a Complex Systems. $3 888664
650 2 4 $a Engineering Fluid Dynamics. $3 670525
650 2 4 $a Geophysics. $3 686174
650 2 4 $a Astrophysics. $3 646223
650 2 4 $a Turbulence in plasmas. $3 1398862
650 1 4 $a Theoretical, Mathematical and Computational Physics. $3 768900
650 0 $a Nonlinear theories. $3 527937
650 0 $a Spectrum analysis. $3 582358
650 0 $a Waves. $3 772651
650 0 $a Turbulence $x Spectra. $3 1488599
700 1 $a Falkovich, G. $3 1488598
700 1 $a L'vov, V. S. $3 1488597
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
830 0 $a Graduate texts in physics. $3 882738
856 4 0 $u https://doi.org/10.1007/978-3-031-82729-7
950 $a Physics and Astronomy (SpringerNature-11651)