We consider vibrating systems of hyperbolic Timoshenko type that are coupled to a heat equation modeling an expectedly dissipative effect through heat conduction. While proving exponential stabilityâ€¦ (More)

We consider the Timoshenko system in a bounded domain (0, L) âŠ‚ R1. The system has an indefinite damping mechanism, i.e. with a damping function a = a(x) possibly changing sign, present only in theâ€¦ (More)

We study global existence, uniqueness, and asymptotic behavior, as time tends to infinity, of weak solutions to the system of nonlinear thermoviscoelasticity. Various boundary conditions areâ€¦ (More)

In the literature there exist several thermomechanical models which are proposed from a heuristic point of view. A mathematical analysis should help to clarify the applicability of these models. Inâ€¦ (More)

We consider linear initial-boundary value problems that are a coupling like second-order thermoelasticity, or the thermoelastic plate equation or its generalization (the Î±-Î²-system introduced in [1,â€¦ (More)

We consider dynamical and quasi-static thermoelastic contact problems in R modeling the evolution of temperature and displacement in an elastic body that may come into contact with a rigidâ€¦ (More)

We consider the system of micro-beam resonators in the thermoelastic theory of Lord and Shulmann. First, we prove the uniqueness and instability of solutions when the sign of a parameter is notâ€¦ (More)