Addendum to: Qualitative aspects of solutions in resonators
نویسندگان
چکیده
In correcting a small mistake in [10], we can prove a new result on non-exponential 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 the modeling of heat conduction.
منابع مشابه
Qualitative aspects in resonators
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 are obtained. We finish the paper by proving the impossibility of the time localization of solutions.
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