Stability of L - Periodic Equilibrium Solutions of Navier-Stokes Equations on Infinite Strip

Authors

  • S. Khabid  Laâyoune Higher School of Technology, Ibn Zohr University, Morocco

DOI:

https://doi.org//10.32628/CSEIT1953116

Keywords:

Navier-Stokes equations, Fourier series, Stability, Regularity

Abstract

In this paper, we assume that a smooth equilibrium solution U_0,p_0 of Navier-Stokes equations is given on an infinite strip ?= I R ×]-1/2,1/2[, the problem of stability that arises in the infinite plate (?= I R ^2×]-1/2,1/2[) disappears in our case using the same tools in [7].<

References

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  4. M.Reed and B.Simon, Methods of Math. Physics IV. Analysis of operators. Gouthier-villars, Paris, 1957.1995.
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  6. V.A.Romanov, Stability of plane parallel couette flows, Functional analysis and its applications 7, 137-146. (1973).
  7. B.Scarpellini, Stability, Instability and direct integrals. Chapman & Hall/CRC, Boca Raton, London, 1999.

IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology

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Published

2019-06-30

Issue

Volume 5, Issue 3, May-June-2019

Section

Research Articles

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How to Cite

[1]
S. Khabid, " Stability of L - Periodic Equilibrium Solutions of Navier-Stokes Equations on Infinite Strip, IInternational Journal of Scientific Research in Computer Science, Engineering and Information Technology(IJSRCSEIT), ISSN : 2456-3307, Volume 5, Issue 3, pp.575-582, May-June-2019. Available at doi : https://doi.org/10.32628/CSEIT1953116