LEADER 05177oam 2200541 450 001 9910809494403321 005 20190911112728.0 010 $a981-4366-94-3 035 $a(OCoLC)844311159 035 $a(MiFhGG)GVRL8RFA 035 $a(EXLCZ)992670000000372475 100 $a20130813h20132013 uy 0 101 0 $aeng 135 $aurun|---uuuua 181 $ctxt 182 $cc 183 $acr 200 00$aAdvances in wave turbulence /$fedited by Victor Shrira, Keele University, UK, Sergey Nazarenko, University of Warwick, UK 210 $aSingapore $cWorld Scientific Pub. Co.$d2013 210 1$aNew Jersey :$cWorld Scientific,$d[2013] 210 4$d?2013 215 $a1 online resource (xi, 281 pages) $cillustrations 225 1 $aWorld Scientific series on nonlinear science. Series A ;$vv. 83 300 $aDescription based upon print version of record. 311 $a981-4366-93-5 320 $aIncludes bibliographical references. 327 $aPreface; Contents; 1. Wave Turbulence: A Story Far from Over Alan C. Newell and Benno Rumpf; 1.1. Introduction; 1.2. A Tutorial on the Wave Turbulence Closure; 1.3. Solutions of the Kinetic Equation; 1.4. Experimental Evidence; 1.4.1. Capillary wave turbulence; 1.4.2. Gravity wave turbulence; 1.4.3. Vibrating plate turbulence: can one hear the Kolmogorov spectrum?; 1.4.4. Condensates of classical light waves; 1.5. Two Open Questions; 1.6. Open Challenges; Appendix 1. Derivation of the Governing Equation for Gravity-Capillary Waves; Appendix 2. Asymptotic Analysis; Acknowledgment; Bibliography 327 $a2. Fluctuations of the Energy Flux in Wave Turbulence S. Auma?tre, E. Falcon and S. Fauve2.1. Introduction; 2.2. Spectra in the Gravity and Capillary Regimes; 2.3. Direct Measurement of the Injected Power; 2.4. Fluctuations of the Energy Flux; 2.5. Conclusion; Acknowledgment; Bibliography; 3. Wave Turbulence in Astrophysics Sebastien Galtier; 3.1. Introduction; 3.2. Waves and Turbulence in Space Plasmas; 3.2.1. Interplanetary medium; 3.2.2. Solar atmosphere; 3.3. Turbulence and Anisotropy; 3.3.1. Navier-Stokes turbulence; 3.3.2. Incompressible MHD turbulence; 3.3.2.1. Strong turbulence 327 $a3.3.2.2. Iroshnikov-Kraichnan spectrum3.3.2.3. Breakdown of isotropy; 3.3.2.4. Emergence of anisotropic laws; 3.3.3. Towards an Alfven wave turbulence theory; 3.3.4. Wave turbulence in compressible MHD; 3.3.5. Wave turbulence in Hall and electron MHD; 3.4. Wave Turbulence Formalism; 3.4.1. Wave amplitude equation; 3.4.2. Statistics and asymptotics; 3.4.3. Wave kinetic equations; 3.4.4. Finite flux solutions; 3.5. Main Results and Predictions; 3.5.1. Alfven wave turbulence; 3.5.2. Compressible MHD; 3.5.3. Whistler wave turbulence; 3.5.4. Hall MHD; 3.6. Conclusion and Perspectives 327 $a3.6.1. Observations3.6.2. Simulations; 3.6.3. Open questions; Bibliography; 4. Optical Wave Turbulence S. K. Turitsyn, S. A. Babin, E. G. Turitsyna, G. E. Falkovich, E. V. Podivilov and D. V. Churkin; 4.1. Optical Wave Turbulence: Introduction; 4.2. Basics of Fiber Lasers; 4.3. Key Mathematical Models; 4.4. Weak Optical Wave Turbulence in Fiber Lasers; 4.4.1. Theory of weak wave turbulence in the context of fiber laser; 4.4.2. Experiments; 4.4.3. Statistical properties and optical rogue wave generation via wave turbulence in RFLs; 4.5. Optical Wave Turbulence in Ultra-Long Fiber Lasers 327 $a4.5.1. Basics of ultra-long fiber lasers4.5.2. Mode structure in ultra-long fiber lasers; 4.5.3. Nonlinear broadening of optical spectra; 4.6. Developed Optical Wave Turbulence in Fiber Lasers; 4.6.1. The impact of fiber dispersion; 4.7. Spectral Condensate in Fiber Lasers; 4.8. Conclusions and Perspectives; Acknowledgments; Bibliography; 5. Wave Turbulence in a Thin Elastic Plate: The Sound of the Kolmogorov Spectrum? G. During and N. Mordant; 5.1. Weak Turbulence Theory for Thin Elastic Plates; 5.1.1. The Foppl-von Karman equations for a thin elastic plate 327 $a5.1.2. Kinetic equation and spectra 330 $aWave or weak turbulence is a branch of science concerned with the evolution of random wave fields of all kinds and on all scales, from waves in galaxies to capillary waves on water surface, from waves in nonlinear optics to quantum fluids. In spite of the enormous diversity of wave fields in nature, there is a common conceptual and mathematical core which allows us to describe the processes of random wave interactions within the same conceptual paradigm, and in the same language. The development of this core and its links with the applications is the essence of wave turbulence science (WT) whi 410 0$aWorld Scientific series on nonlinear science.$nSeries A,$pMonographs and treatises ;$vv. 83. 606 $aTurbulence 606 $aNonlinear waves 615 0$aTurbulence. 615 0$aNonlinear waves. 676 $a531.1133 702 $aShrira$b Victor 702 $aNazarenko$b Sergey 712 02$aWorld Scientific (Firm), 801 0$bMiFhGG 801 1$bMiFhGG 906 $aBOOK 912 $a9910809494403321 996 $aAdvances in wave turbulence$93936483 997 $aUNINA