## Perturbation of eigenvalues in thermoelasticity and vibration of systems with concentrated masses.(English)Zbl 0542.73006

Trends and applications of pure mathematics to mechanics, Symp., Palaiseau/France 1983, Lect. Notes Phys. 195, 346-368 (1984).
[For the entire collection see Zbl 0533.00030.]
The paper examines two problems depending on a small parameter $$\epsilon$$. The first problem involves vibrations of a bounded thermoelastic body with $$\epsilon$$ denoting the thermal conductivity. For $$\epsilon =0$$ the spectrum consists of purely imaginary eigenvalues. The second problem concerns a three dimensional wave equation with density distribution depending on $$\epsilon$$. As $$\epsilon \to 0$$, the arising vibrations are associated with small eigenvalues.
Reviewer: J.L.Nowinski

### MSC:

 74F05 Thermal effects in solid mechanics 74A15 Thermodynamics in solid mechanics 74J99 Waves in solid mechanics

Zbl 0533.00030