Hydrodynamic fluctuations in the kolmogorov flow: nonlinear regime

@article{Bna2000HydrodynamicFI,
  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},
  year={2000},
  volume={62 5 Pt A},
  pages={
          6560-70
        }
}
  • 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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References

SHOWING 1-10 OF 46 REFERENCES

Fluid Mechanics

Ludwig Krinner (Dated: November 5th 2012) Abstract This is a script made with the help of Landau Lifshitz, Book VI [1] on fluid mechanics, that gives a short introduction to basic fluid mechanics.

Weak chaos and quasi-regular patterns

Part I. General Concepts: Hamiltonian dynamics Stability and chaos Part II. Dymanic Order and Choas: The stochastic layer Stochastic layer - stochastic sea transition The stochastic web Uniform web

Synergetics

  • H. Haken
  • Geology
    IEEE Circuits and Devices Magazine
  • 1988
Synergetics is concerned with the cooperation of individual parts of a system that produces macroscopic spatial, temporal, or functional structures. The following article deals with an aspect of

Phys

  • Rev. E 59, 5503
  • 1999

Phys

  • 39, 285 (1985); ibid. 40, 431
  • 1985

Russ

  • Math. Survey 38,113
  • 1983

An introduction to computational fluid mechanics

Introduction to nonlinear science

Spectral Line Shapes

Phys. Rev. Lett. Phys. Rev. A

  • Phys. Rev. Lett. Phys. Rev. A
  • 1979