This issuePrevious ArticleSet oriented methods for computing reachable sets and control setsNext ArticleThe asymptotic solution of the Cauchy problem for a generalized Boussinesq equation
We consider
initial-boundary value problems in a hyperbolic thermoelastic
system, called thermoelasticity of type III. First, we prove the
exponential stability in one space dimension for different
boundary conditions with energy methods and spectral methods,
respectively. Then the exponential stability in more two or three
space dimensions is proved for radially symmetric situations.
Finally, the equipartition of energy is investigated.