Decay rates for Bresse system with arbitrary nonlinear localized damping |
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| Authors: | Wenden Charles,J.A. Soriano,Flá vio A. Falcã o Nascimento,J.H. Rodrigues |
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| Affiliation: | 1. Center of Exact Sciences and Technology, Federal University of Acre, 69920-900, Rio Branco, AC, Brazil;2. Department of Mathematics, State University of Maringá, 87020-900, Maringá, PR, Brazil;3. Faculty of Philosophy Dom Aureliano Matos, State University of Ceará, 62.930-000, Limoeiro do Norte, CE, Brazil |
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| Abstract: | In this paper we consider a vibrating system of Bresse type, in a one-dimensional bounded domain with nonlinear localized damping mechanisms acting in all the three wave equations. We obtain some rates of decay for its solutions with no restrictions around the coefficients as well as the condition of equal-speed wave propagation. A new result concerning an internal observability for the conservative system was also proved in order to reach the asymptotics above. |
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