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An example of absence of turbulence for any Reynolds number

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Abstract

We consider a viscous incompressible fluid moving in a two-dimensional flat torus. We show a particular external forcef 0 for which there is a globally attractive stationary state for any Reynolds numberR. Moreover, for any fixedR, this stability property holds also for a neighbourhood off 0.

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Authors and Affiliations

  1. Dipartimento di Matematica, Università di Roma I “La Sapienza”, Piazzale A. Moro 5, I-00185, Roma, Italy

    Carlo Marchioro

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  1. Carlo Marchioro
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Additional information

Communicated by J. L. Lebowitz

Research partially supported by Italian CNR and Ministero della Pubblica Istruzione

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Marchioro, C. An example of absence of turbulence for any Reynolds number. Commun.Math. Phys. 105, 99–106 (1986). https://doi.org/10.1007/BF01212343

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  • DOI: https://doi.org/10.1007/BF01212343

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