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On the Loss of Regularity of Shearing Flows of Viscoelastic Fluids

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Nonlinear Evolution Equations That Change Type

Part of the book series: The IMA Volumes in Mathematics and Its Applications ((IMA,volume 27))

Abstract

In this expository article a brief survey is given of a part of the theory of rectilinear shearing flows of simple fluids with fading memory. The topics discussed have relevance to the search for a theory of melt fracture of polymers at high rates of shear. The emphasis is laid on unbounded growth of shear-acceleration waves and breakdown of initially smooth solutions.

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Author information

Authors and Affiliations

  1. Department of Mechanics and Materials Science, Rutgers University, Piscataway, New Jersey, USA

    Bernard D. Coleman

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  1. Bernard D. Coleman
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Editor information

Editors and Affiliations

  1. Department of Mathematics, University of Houston, Houston, Texas, 77204, USA

    Barbara Lee Keyfitz

  2. Department of Mathematics, North Carolina State University, Raleigh, North Carolina, 27695, USA

    Michael Shearer

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© 1990 Springer-Verlag New York Inc.

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Coleman, B.D. (1990). On the Loss of Regularity of Shearing Flows of Viscoelastic Fluids. In: Keyfitz, B.L., Shearer, M. (eds) Nonlinear Evolution Equations That Change Type. The IMA Volumes in Mathematics and Its Applications, vol 27. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9049-7_2

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  • DOI: https://doi.org/10.1007/978-1-4613-9049-7_2

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9051-0

  • Online ISBN: 978-1-4613-9049-7

  • eBook Packages: Springer Book Archive

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