Rates of decay to weak thermoelastic Bresse system
We consider the Bresse system with temperature and we show that there exist exponential stability if and only if the wave propagation is equal. We show that, in general, the system is not exponentially stable but that there exists polynomial stability with rates that depend on the wave propagations...
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| Published in | IMA journal of applied mathematics Vol. 75; no. 6; pp. 881 - 904 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Oxford
Oxford University Press
01.12.2010
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0272-4960 1464-3634 |
| DOI | 10.1093/imamat/hxq038 |
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| Abstract | We consider the Bresse system with temperature and we show that there exist exponential stability if and only if the wave propagation is equal. We show that, in general, the system is not exponentially stable but that there exists polynomial stability with rates that depend on the wave propagations and the regularity of the initial data. Moreover, we introduce a necessary condition to dissipative semigroup decay polynomially. This result allows us to show some optimality to the polynomial rate of decay. |
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| AbstractList | We consider the Bresse system with temperature and we show that there exist exponential stability if and only if the wave propagation is equal. We show that, in general, the system is not exponentially stable but that there exists polynomial stability with rates that depend on the wave propagations and the regularity of the initial data. Moreover, we introduce a necessary condition to dissipative semigroup decay polynomially. This result allows us to show some optimality to the polynomial rate of decay. |
| Author | Fatori, L. H. Munoz Rivera, J. E. |
| Author_xml | – sequence: 1 givenname: L. H. surname: Fatori fullname: Fatori, L. H. – sequence: 2 givenname: J. E. surname: Munoz Rivera fullname: Munoz Rivera, J. E. |
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| Keywords | Polynomial Necessary condition Wave propagation Applied mathematics Bresse thermoelastic systems polynomial stability Numerical stability thermoelasticity decay rate |
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| SubjectTerms | Bresse thermoelastic systems Decay Decay rate Dissipation Exact sciences and technology Mathematical analysis Mathematics Optimization polynomial stability Regularity Sciences and techniques of general use Stability thermoelasticity decay rate Wave propagation |
| Title | Rates of decay to weak thermoelastic Bresse system |
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