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Author (up) During, G.; Josserand, C.; Rica, S. pdf  doi
  Title Self-similar formation of an inverse cascade in vibrating elastic plates Type
  Year 2015 Publication Physical Review E Abbreviated Journal Phys. Rev. E  
  Volume 91 Issue 5 Pages 10 pp  
  Abstract The dynamics of random weakly nonlinear waves is studied in the framework of vibrating thin elastic plates. Although it has been previously predicted that no stationary inverse cascade of constant wave action flux could exist in the framework of wave turbulence for elastic plates, we present substantial evidence of the existence of a time-dependent inverse cascade, opening up the possibility of self-organization for a larger class of systems. This inverse cascade transports the spectral density of the amplitude of the waves from short up to large scales, increasing the distribution of long waves despite the short-wave fluctuations. This dynamics appears to be self-similar and possesses a power-law behavior in the short-wavelength limit which significantly differs from the exponent obtained via a Kolmogorov dimensional analysis argument. Finally, we show explicitly a tendency to build a long-wave coherent structure in finite time.  
  Address [Duering, Gustavo] Pontificia Univ Catolica Chile, Fac Fis, Santiago, Chile  
  Corporate Author Thesis  
  Publisher Amer Physical Soc Place of Publication Editor  
  Language English Summary Language Original Title  
  Series Editor Series Title Abbreviated Series Title  
  Series Volume Series Issue Edition  
  ISSN 2470-0045 ISBN Medium  
  Area Expedition Conference  
  Notes WOS:000354983600007 Approved  
  Call Number UAI @ eduardo.moreno @ Serial 493  
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