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Level crossing analysis of Burgers equation in 1 + 1 dimensions

Movahed, M. S ; Sharif University of Technology | 2006

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  1. Type of Document: Article
  2. DOI: 10.1088/0305-4470/39/15/004
  3. Publisher: 2006
  4. Abstract:
  5. We investigate the average frequency of positive slope ν +α, crossing the velocity field in the Burgers equation. The level crossing analysis in the inviscid limit and the total number of positive crossings of the velocity field before the creation of singularities are given. The main goal of this paper is to show that this quantity, ν+α, is a good measure for the fluctuations of velocity fields in the Burgers turbulence. © 2006 IOP Publishing Ltd
  6. Keywords:
  8. Source: Journal of Physics A: Mathematical and General ; Volume 39, Issue 15 , 2006 , Pages 3903-3909 ; 03054470 (ISSN)
  9. URL: https://iopscience.iop.org/article/10.1088/0305-4470/39/15/004