Exponential energy decay in a linear thermoelastic rod (Q1197410)
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scientific article; zbMATH DE number 91554
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Exponential energy decay in a linear thermoelastic rod |
scientific article; zbMATH DE number 91554 |
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Exponential energy decay in a linear thermoelastic rod (English)
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16 January 1993
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We examine the stability of solutions to a pair of coupled linear partial differential equations which describe the temperature distribution and displacement within a one-dimensional thermoelastic rod. For particular sets of natural boundary conditions, the eigenfunctions are shown to form a Riesz basis on the Hilbert space of finite energy states.
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asymptotic eigenvalue estimates
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stability
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coupled linear partial differential equations
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eigenfunctions
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Riesz basis
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Hilbert space
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finite energy states
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