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Nonlinear stability of flows of Jeffreys fluids at low Weissenberg numbers

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Abstract

We consider the stability of steady flows of viscoelastic fluids of Jeffreys type. For sufficiently small Weissenberg numbers, but arbitrary Reynolds numbers, it is proved that the flow is stable to small disturbances if the spectrum of the linearized operator is in the left half plane.

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Authors and Affiliations

  1. Department of Mathematics, Virginia Tech, 24061-0123, Blacksburg, VA

    Michael Renardy

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  1. Michael Renardy
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Communicated by K. Kirchgässner

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Renardy, M. Nonlinear stability of flows of Jeffreys fluids at low Weissenberg numbers. Arch. Rational Mech. Anal. 132, 37–48 (1995). https://doi.org/10.1007/BF00390348

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  • DOI: https://doi.org/10.1007/BF00390348

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