Qualitative aspects of solutions in resonators

R. Quintanilla; R. Racke

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

We consider the system of micro-beam resonators in the thermoelastic theory of Lord and Shulmann. First, we prove the uniqueness and instability of solutions when the sign of a parameter is not prescribed. Existence of solutions and uniform bounds for the real part of the spectrum have been found. We finish the paper by proving the impossibility of the time localization of solutions.

Keywords:

hyperbolic model in thermoelasticity, well-posedness, exponential stability

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Qualitative aspects of solutions in resonators

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