Exponential decay of solution to the viscoelastic porous‐thermoelastic system of type III with boundary time‐varying delay |
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| Authors: | Jianghao Hao Peipei Wang |
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| Institution: | School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi, China |
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| Abstract: | In this paper, we are concerned with a one‐dimensional porous‐thermoelastic system of type III with a viscoelastic damping and boundary time‐varying delay. Under suitable assumptions on relaxation function and time delay, we establish the exponential decay result of the system in which the damping is strong enough to stabilize the thermoelastic system in the presence of time delay. Copyright © 2015 John Wiley & Sons, Ltd. |
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| Keywords: | thermoelastic type III time‐varying delay viscoelastic damping relaxation function exponential decay subclass 35B37 35L55 74D05 93D15 |
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