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On the stability of Mindlin-Timoshenko plates
Author(s):
Hugo
D. Fernández
Sare
Journal:
Quart. Appl. Math.
67
(2009),
249-263.
MSC (2000):
Primary 35B40, 74H40
Posted:
March 19, 2009
MathSciNet review:
2514634
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Additional information
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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Additional Information:
Hugo
D. Fernández
Sare
Affiliation:
Department of Mathematics and Statistics, University of Konstanz, 78457, Konstanz, Germany
Email:
hugosare@lncc.br
PII:
S0033-569X-09-01110-2
Keywords:
Timoshenko plates,
non-exponential stability,
polynomial stability.
Received by editor(s):
September 17, 2007
Posted:
March 19, 2009
Additional Notes:
The author was supported by the DFG-project ``Hyperbolic Thermoelasticity'' (RA 504/3-3).
Copyright of article:
Copyright
2009,
Brown University
The copyright for this article reverts to public domain after 28 years from publication.
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