Boundary stabilizability of a nonlinear structural acoustic model including thermoelastic effects (Q2717284)
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scientific article; zbMATH DE number 1604839
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Boundary stabilizability of a nonlinear structural acoustic model including thermoelastic effects |
scientific article; zbMATH DE number 1604839 |
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23 April 2002
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structural acoustic system
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boundary stabilizability
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wave equation
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nonlinear thermoelastic plate equation
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Boundary stabilizability of a nonlinear structural acoustic model including thermoelastic effects (English)
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This paper studies the boundary stabilizability of a coupled system of partial differential equations. The model consists of the (linear) wave equation which is coupled to a nonlinear thermoelastic plate equation on a portion of the boundary. The main result of the paper states that the system can be stabilized by a nonlinear dissipative boundary condition on a part of the remaining portion of the boundary.NEWLINENEWLINEFor the entire collection see [Zbl 0959.00047].
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