Abstract
This paper develops an abstract framework for analysis of linear thermoelastic systems. Linear semigroup theory is used to establish the well-posedness. Sufficient conditions for the exponential stability and analyticity of the associated semigroups for the thermoelastic systems are obtained via the frequency domain method and a contradiction argument. The results are applied to linear thermoelastic rods, beams and plates of homogeneous and nonhomogeneous material with various boundary conditions.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 885-904 |
| Number of pages | 20 |
| Journal | Zeitschrift fur Angewandte Mathematik und Physik |
| Volume | 48 |
| Issue number | 6 |
| DOIs | |
| State | Published - Nov 1997 |
Keywords
- Analyticity, semigroup
- Exponential stability
- Linear thermoelastic system