Stability and Galerkin approximation in thermoelastic models

摘要

We consider the coupled partial differential equations which arise in modeling linear thermoelastic structures. We review stability properties of the distributed parameter model, particularly as related to the choice of norm on the state space. We discuss the choice of norm for two models-one with elastic dynamics governed by a wave equation and the other by an Euler-Bernoulli beam equation. We discuss the implications for stability as well as Galerkin approximations.