On the linear stability of hyperbolic PDEs and viscoelastic flows

  • Michael Renardy
Original Papers

DOI: 10.1007/BF00952081

Cite this article as:
Renardy, M. Z. angew. Math. Phys. (1994) 45: 854. doi:10.1007/BF00952081


The issue addressed in this paper is whether linear stability can be determined from the spectrum. We present a counterexample for a hyperbolic PDE in two dimensions and a positive result for parallel shear flows of a class of viscoelastic fluids.

Copyright information

© Birkhäuser Verlag 1994

Authors and Affiliations

  • Michael Renardy
    • 1
  1. 1.Dept of MathematicsVirginia TechBlacksburgUSA

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