Polynomial and exponential stability for one-dimensional problem in thermoelastic diffusion theory |
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| Authors: | Moncef Aouadi Abdelaziz Soufyane |
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| Institution: | 1. Department of Mathematics and Computer Science , Rustaq College of Applied Sciences , Rustaq 329, P.O. Box 10, Sultanate of Omanmoncef_aouadi@yahoo.fr;3. Faculty of Engineering and Applied Sciences , ALHOSN University , P.O. Box 38772, Abu Dhabi, UAE |
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| Abstract: | We consider one-dimensional problem for the thermoelastic diffusion theory and we obtain polynomial decay estimates. Then we show that the solution decays exponentially to zero as time goes to infinity; that is, denoting by E(t) the first-order energy of the system, we show that positive constants C 0 and c 0 exist which satisfy E(t) ≤ C 0 E(0)e ?c 0 t . |
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| Keywords: | thermoelastic diffusion polynomial stability exponential stability |
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