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Stability of Creeping Flows of Maxwell Fluids

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Abstract

We derive rigorous criteria for the linear stability of viscoelastic flows under periodic boundary conditions. The results are based on recent work of R. Shvydkoy (Commun Math Phys 265:507–545, 2006).

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Authors and Affiliations

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

    Michael Renardy

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  1. Michael Renardy
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Correspondence to Michael Renardy.

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Communicated by S. S. Antman

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Renardy, M. Stability of Creeping Flows of Maxwell Fluids. Arch Rational Mech Anal 198, 723–733 (2010). https://doi.org/10.1007/s00205-010-0353-3

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  • DOI: https://doi.org/10.1007/s00205-010-0353-3

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