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Liapounov exponents for the Kuramoto-Sivashinsky model

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Macroscopic Modelling of Turbulent Flows

Part of the book series: Lecture Notes in Physics ((LNP,volume 230))

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References

  1. for a review see related communications at: “Common Trends in Particle and Condensed Matter Physics” Les Houches 1983, Physics Reports 103(1984).

    Google Scholar 

  2. Y.Kuramoto: Suppl.Prog.Theor.Phys.64 (1978)346.

    Google Scholar 

  3. G.I.Sivashinsky: Acta Astronautica 4 (1977)1177.

    Google Scholar 

  4. see: G.Benettin and L.Galgani: in “Intrinsic Stochasticity in Plasmas”, G.Laval and D.Gresillon Eds. (Editions de Physique,Orsay,1979).

    Google Scholar 

  5. G.Benettin, L.Galgani and J.M.Strelcyn: Phys.Rev.A14 (1976)2338.

    Google Scholar 

  6. J.D.Farmer, E.Ott, J.A.Yorke: Physica 7D (1983)153.

    Google Scholar 

  7. P.Frederickson, J.L.Kaplan, E.D.Yorke, J.A.Yorke: J.Diff.Eq.49 (1983)185.

    Google Scholar 

  8. A.Pumir: Thèse 3ème Cycle Univ. Paris VI, Dec.1982.

    Google Scholar 

  9. P.Manneville: presentation of preliminary results at “Interdisciplinary Turbulence” IHES Bures sur Yvette NOv.1963 unpublished.

    Google Scholar 

  10. D.Ruelle: Comm.Math.Phys.87 (1982)287.

    Google Scholar 

  11. T.Yamada, Y.Kuramoto: Prog.Theor.Phys.56 (1976)681 see also fig.1 of ref.11 below.

    Google Scholar 

  12. Y.Pomeau, A.Pumir and P.Pelce: J.Stat.Phys.37 (1984)39.

    Google Scholar 

  13. in collaboration with L.Tuckerman.

    Google Scholar 

  14. B.Nicolaenko, B.Scheurer, R.Temam: C.R. Acad. Sc. Paris 298II (l984)23

    Google Scholar 

  15. B.Nicolaenko, B.Scheurer: Physica 12D (1984)391

    Google Scholar 

  16. B.Nicloaenko, B.Scheurer, R.Temeam: “Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors”, Physica D to appear.

    Google Scholar 

  17. D.J.Farmer: Physica 4D (1982)366.

    Google Scholar 

  18. Two dimensional turbulence or being studied in this spirit by B.Legras LMD, ENS Paris.

    Google Scholar 

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Uriel Frisch Joseph B. Keller George C. Papanicolaou Olivier Pironneau

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© 1985 Springer-Verlag

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Manneville, P. (1985). Liapounov exponents for the Kuramoto-Sivashinsky model. In: Frisch, U., Keller, J.B., Papanicolaou, G.C., Pironneau, O. (eds) Macroscopic Modelling of Turbulent Flows. Lecture Notes in Physics, vol 230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-15644-5_26

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  • DOI: https://doi.org/10.1007/3-540-15644-5_26

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