Uniform decay of energy for a porous thermoelasticity system with past history. (English) Zbl 1391.35050
Summary: In this paper, we consider a one-dimensional porous thermoelasticity system with past history, which contains a porous elasticity in the presence of a visco-porous dissipation, a macrotemperature effect and temperature difference. We establish the exponential stability of the system if and only if the equations have the same wave speeds, and obtain the energy decays polynomially to zero in the case that the wave speeds of the equations are different.
MSC:
| 35B40 | Asymptotic behavior of solutions to PDEs |
| 74F05 | Thermal effects in solid mechanics |
| 93D20 | Asymptotic stability in control theory |
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