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On the non-linear stability of parallel shear flows

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Abstract

The non-linear stability of parallel shear flows in incompressible fluids is studied by the Lyapunov method for stress-free boundary conditions. It is shown that plane Couette flows and plane Poiseuille flows are asymptotically stable for all Reynolds numbers.

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Authors and Affiliations

  1. Dipartimento di Matematica e Applicazioni, Via Mezzocannone 8, 80134, Naples, Italy

    S. Rionero

  2. Dipartimento di Matematica, Viale A. Doria 6, 95125, Catania, Italy

    G. Mulone

Authors
  1. S. Rionero
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  2. G. Mulone
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Rionero, S., Mulone, G. On the non-linear stability of parallel shear flows. Continuum Mech. Thermodyn 3, 1–11 (1991). https://doi.org/10.1007/BF01128961

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