Addendum to: Qualitative aspects of solutions in resonators

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Authors

  • R. Quintanilla Department of Applied Mathematics II, UPC Terrassa, Spain
  • R. Racke Department of Mathematics and Statistics, University of Konstanz, Germany

Abstract

In correcting a small mistake in [10], we can prove a new result on nonexponential stability for a coupled system arising in resonators. This also gives another (surprising and simple) example for a thermoelastic system changing from exponential stability to non-exponential stability, when changing from Fourier’s law to Cattaneo’s law in modeling of the heat conduction.

Keywords:

hyperbolic model in thermoelasticity, well-posedness, exponential stability, Fourier law, Cattaneo law