LEADER 04351nam 22007335 450 001 9910992792003321 005 20250330141116.0 010 $a3-031-82729-5 024 7 $a10.1007/978-3-031-82729-7 035 $a(CKB)38165178900041 035 $a(DE-He213)978-3-031-82729-7 035 $a(MiAaPQ)EBC31981072 035 $a(Au-PeEL)EBL31981072 035 $a(EXLCZ)9938165178900041 100 $a20250330d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aKolmogorov-Zakharov Spectra of Turbulence $eWave Turbulence /$fby Vladimir Zakharov, Victor Lvov, Gregory Falkovich 205 $a2nd ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (XVIII, 288 p. 30 illus.) 225 1 $aGraduate Texts in Physics,$x1868-4521 311 08$a3-031-82728-7 327 $aO. 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. 330 $aStarting at the level of graduate students, this book offers a comprehensive introduction to a rapidly developing field of turbulence. It also presents the state of the art of the theory of wave turbulence in diverse media for researchers looking for a formalism to solve existing problems or for new research subjects and ideas. The book provides a general theory of developed wave turbulence in different media: plasmas, solids, atmosphere, oceans and space. The presentation starts with a simple and intuitive dimensional analysis and proceeds to a rigorous analytic theory with exact solutions for the stationary spectra of turbulence, stability theory of such spectra, description of nonstationary regimes and matching spectra with pumping and dissipation regions. The reader is provided with the necessary tools to study nonlinear waves and turbulence: Hamiltonian formalism, statistical description, derivation of kinetics equations and methods of finding their steady and non-steady solutions. In this second edition the book is brought up to date both in theoretical and experimental/observational aspects. In particular, the authors have updated and revised the description of nonstationary turbulence, turbulent entropy production, etc, and added discussions of master equation and several cases of strong turbulence and nonlocal cascades. The book now includes excercises, some with solutions. 410 0$aGraduate Texts in Physics,$x1868-4521 606 $aMathematical physics 606 $aPlasma turbulence 606 $aAstrophysics 606 $aGeophysics 606 $aFluid mechanics 606 $aSystem theory 606 $aTheoretical, Mathematical and Computational Physics 606 $aTurbulence in plasmas 606 $aAstrophysics 606 $aGeophysics 606 $aEngineering Fluid Dynamics 606 $aComplex Systems 615 0$aMathematical physics. 615 0$aPlasma turbulence. 615 0$aAstrophysics. 615 0$aGeophysics. 615 0$aFluid mechanics. 615 0$aSystem theory. 615 14$aTheoretical, Mathematical and Computational Physics. 615 24$aTurbulence in plasmas. 615 24$aAstrophysics. 615 24$aGeophysics. 615 24$aEngineering Fluid Dynamics. 615 24$aComplex Systems. 676 $a530.1 700 $aZakharov$b Vladimir$4aut$4http://id.loc.gov/vocabulary/relators/aut$01802837 702 $aLvov$b Victor$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aFalkovich$b Gregory$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910992792003321 996 $aKolmogorov-Zakharov Spectra of Turbulence$94349112 997 $aUNINA