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“School of Physics”

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Paper   IPM / P / 8078
School of Physics
  Title:   Level Crossing Analysis of Burgers Equation in 1+1 Dimensions
  Author(s): 
1.  M.S. Movahed
2.  A. Bahraminasab
3.  H. Rezazadeh
4.  A. A. Masoudi
  Status:   Published
  Journal: J. Phys. A: Math. Gen.
  Vol.:  39
  Year:  2006
  Pages:   3903-3909
  Supported by:  IPM
  Abstract:
We investigate the average frequency of positive slope να+, crossing the velocity field u(x)− u = α in the Burgers equation. The level crossing analysis in the inviscid limit and total number of positive crossing of velocity field before creation of singularities are given. The main goal of this paper is to show that this quantity, να+, is a good measure for the fluctuations of velocity fields in the Burgers turbulence.

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