On the stability of Mindlin–Timoshenko plates

Sare, Hugo

doi:10.1090/S0033-569X-09-01110-2

Author: Hugo D. Fernández Sare
Journal: Quart. Appl. Math. 67 (2009), 249-263
MSC (2000): Primary 35B40, 74H40
DOI: https://doi.org/10.1090/S0033-569X-09-01110-2
Published electronically: March 19, 2009
MathSciNet review: 2514634
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Abstract: We consider a Mindlin-Timoshenko model with frictional dissipations acting on the equations for the rotation angles. We prove that this system is not exponentially stable independent of any relations between the constants of the system, which is different from the analogous one-dimensional case. Moreover, we show that the solution decays polynomially to zero, with rates that can be improved depending on the regularity of the initial data.

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