Vol 60, No 4 (2008)

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Qualitative aspects of solutions in resonators

R. Quintanilla, R. Racke

Arch. Mech. 60 (4), 345-360, 2008

Keywords: hyperbolic model in thermoelasticity; well-posedness; exponential stability


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.

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