Well posedness and stability result for a thermoelastic laminated Timoshenko beam with distributed delay term. (English) Zbl 1462.35074
The authors study a mathematical model for a linear thermoelastic laminated Timoshenko beam with distributed delay. Cattaneo’s law describes the heat conduction. By using the semigroup theory, the authors prove the existence and uniqueness of the solution for the corresponding system of partial differential equations. Exponential stability and polynomial stability are proven by defining suitable Lyapunov functionals.
Reviewer: Adina Chirila (Braşov)
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 35L70 | Second-order nonlinear hyperbolic equations |
| 93D15 | Stabilization of systems by feedback |
| 93D20 | Asymptotic stability in control theory |
| 74K10 | Rods (beams, columns, shafts, arches, rings, etc.) |
| 47D06 | One-parameter semigroups and linear evolution equations |
| 35L53 | Initial-boundary value problems for second-order hyperbolic systems |
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