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Factorization theorems for the stability of bifurcating solutions

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Turbulence and Navier Stokes Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 565))

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References

  • Iooss, G., Existence et stabilité des solutions périodiques de certains problèmes d'évolution du type Navier-Stokes. Arch. Rational Mech. Anal. 47, 301–329 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  • Hopf, E., Abzweigung einer periodischen Lösung eines Differentialsystems. Berichte der Mathematisch-Physikalischen Klasse der Sächsischen Akademie der Wissenschaften zu Leipzig, XCIV, 1–22 (1942).

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  • Joseph, D. D. & D. A. Nield, Stability of bifurcating time-periodic and steady solutions of arbitrary amplitude. Arch. Rational Mech. Anal. (forthcoming)

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  • Joseph, D. D., & D. H. Sattinger, Bifurcating time periodic solutions and their stability. Arch. Rational Mech. Anal. 45, 79–109 (1972).

    Article  MathSciNet  MATH  Google Scholar 

  • Marsden, J. The Hopf bifurcation for nonlinear semigroups. Bull. Am. Math. Soc. 79, 3, 537–541 (1973).

    Article  MathSciNet  MATH  Google Scholar 

  • Sattinger, D. H., Topics in Stability and Bifurcation Theory. Lecture Notes in Mathematics, Vol. 309. Berlin, Heidelberg, New York: Springer: 1973.

    MATH  Google Scholar 

  • Wygnanski, I. J. & F. H. Champagne. On transition in a pipe. Part 1. The origin of puffs and slugs and the flow in a turbulent slug. J. Fluid Mech. 59, 281–335 (1973).

    Article  Google Scholar 

  • Wygnanski, I. J., M. Sokolov & D. Friedman. On transition in a pipe. Part 2. The equilibrium puff. J. Fluid Mech. 69, 283–305 (1975).

    Article  Google Scholar 

  • Zahn, J. P., J. Toomre, E. A. Spiegel & D. O. Gough, Nonlinear cellular motions in Poiseuille channel flow. J. Fluid Mech. 64, 319–45 (1974).

    Article  Google Scholar 

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Authors
  1. Daniel D. Joseph
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Roger Temam

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© 1976 Springer-Verlag Berlin · Heidelberg

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Joseph, D.D. (1976). Factorization theorems for the stability of bifurcating solutions. In: Temam, R. (eds) Turbulence and Navier Stokes Equations. Lecture Notes in Mathematics, vol 565. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0091448

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  • DOI: https://doi.org/10.1007/BFb0091448

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08060-2

  • Online ISBN: 978-3-540-37516-6

  • eBook Packages: Springer Book Archive

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