Hydrodynamic fluctuations in the kolmogorov flow: nonlinear regime

  title={Hydrodynamic fluctuations in the kolmogorov flow: nonlinear regime},
  author={B{\'e}na and Baras and Mansour},
  journal={Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics},
  volume={62 5 Pt A},
  • Béna, Baras, Mansour
  • Published 5 September 2001
  • Physics
  • Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
In a previous paper [I. Bena, M. Malek Mansour, and F. Baras, Phys. Rev. E 59, 5503 (1999)] the statistical properties of linearized Kolmogorov flow were studied, using the formalism of fluctuating hydrodynamics. In this paper the nonlinear regime is considered, with emphasis on the statistical properties of the flow near the first instability. The normal form amplitude equation is derived for the case of an incompressible fluid and the velocity field is constructed explicitly above (but close… 

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