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Exponential energy decay in a linear thermoelastic rod. (English) Zbl 0755.73012
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.

MSC:
74A15 Thermodynamics in solid mechanics
74K10 Rods (beams, columns, shafts, arches, rings, etc.)
35P20 Asymptotic distributions of eigenvalues in context of PDEs
35Q72 Other PDE from mechanics (MSC2000)
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