Abstract
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.
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Renardy, M. On the linear stability of hyperbolic PDEs and viscoelastic flows. Z. angew. Math. Phys. 45, 854–865 (1994). https://doi.org/10.1007/BF00952081
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DOI: https://doi.org/10.1007/BF00952081