The optimal decay rate for a weak dissipative Bresse system

In this work we consider the Bresse system with frictional damping operating only on the angle displacement and we show that under a certain assertion the solution decays polynomially and the decay rate is optimal.

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Bibliographic Details
Published in:Applied mathematics letters 2012-03, Vol.25 (3), p.600-604
Main Authors: Fatori, Luci Harue, Monteiro, Rodrigo Nunes
Format: Article
Language:English
Subjects:
Asymptotic stability
Bresse system
Damping
Decay rate
Displacement
Dissipation
Mathematical analysis
Optimization
Semigroups
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Description
Summary:In this work we consider the Bresse system with frictional damping operating only on the angle displacement and we show that under a certain assertion the solution decays polynomially and the decay rate is optimal.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2011.09.067