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Topics in Mathematical Analysis of Viscoelastic Flow

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Advances in Mechanics and Mathematics

Part of the book series: Advances in Mechanics and Mathematics ((AMMA,volume 4))

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Abstract

The article reviews topics of current interest in the mathematical study of viscoelastic flows. Emphasis is placed on situations far from the Newtonian limit. Specifically, we discuss the asymptotics of the high Weissenberg number limit, flow instabilities, and the breakup of liquid jets.

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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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Editors and Affiliations

  1. Department of Mathematics, Virginia Polytechnic Institute & State University, Blacksburg, VA, 24061, USA

    David Y. Gao

  2. Department of Mathematics, University of Glasgow, Glasgow, G12 8QW, Scotland, UK

    Ray W. Ogden

  3. Department of Mathematics, University Gardens, Glasgow, G12 8QW, Scotland, UK

    Ray W. Ogden

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Renardy, M. (2003). Topics in Mathematical Analysis of Viscoelastic Flow. In: Gao, D.Y., Ogden, R.W. (eds) Advances in Mechanics and Mathematics. Advances in Mechanics and Mathematics, vol 4. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-0247-6_2

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  • DOI: https://doi.org/10.1007/978-1-4613-0247-6_2

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