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Hyperbolicity, Change of Type, Wave Speeds and Related Matters

  • D. D. Joseph
Conference paper
Part of the The IMA Volumes in Mathematics and Its Applications book series (IMA, volume 12)

Summary

In this paper 1 will review some consequences of instantaneous elasticity for the numerical analysis of flows of viscoelastic liquids. 1 will consider situations which are associated with hyperbolic waves of vorticity. The vorticity equation may change type in steady and unsteady flow. In the latter case we get instability to short waves, ill-posedness, and, in the former, transonic flow. The two types of change are related. The regularizing effect of an effective Newtonian viscosity and the physical origins of viscosity are briefly reviewed.

Keywords

Wave Speed Short Wave Maxwell Model Transonic Flow Vorticity Equation 
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Copyright information

© Springer-Verlag New York Inc. 1988

Authors and Affiliations

  • D. D. Joseph
    • 1
  1. 1.Department of Aerospace Engineering and MechanicsThe University of MinnesotaMinneapolisUSA

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