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Hadamard Instability and Frozen Coefficients

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Fluid Dynamics of Viscoelastic Liquids

Part of the book series: Applied Mathematical Sciences ((AMS,volume 84))

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Abstract

In this chapter, we are going to do a stability study of a special type in which we look for short wave instabilities with growth rates that increase without bound as the wave length tends to zero. Such instabilities are a catastrophe for numerical analysis; the finer the mesh, the worse the result.

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© 1990 Springer-Verlag Berlin Heidelberg

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Joseph, D.D. (1990). Hadamard Instability and Frozen Coefficients. In: Fluid Dynamics of Viscoelastic Liquids. Applied Mathematical Sciences, vol 84. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4462-2_4

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  • DOI: https://doi.org/10.1007/978-1-4612-4462-2_4

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-8785-8

  • Online ISBN: 978-1-4612-4462-2

  • eBook Packages: Springer Book Archive

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