Solving the Linear 1D Thermoelasticity Equations with Pure Delay
2015 ◽
Vol 2015
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pp. 1-11
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Keyword(s):
We propose a system of partial differential equations with a single constant delayτ>0describing the behavior of a one-dimensional thermoelastic solid occupying a bounded interval ofR1. For an initial-boundary value problem associated with this system, we prove a well-posedness result in a certain topology under appropriate regularity conditions on the data. Further, we show the solution of our delayed model to converge to the solution of the classical equations of thermoelasticity asτ→0. Finally, we deduce an explicit solution representation for the delay problem.
2007 ◽
Vol 147
(1)
◽
pp. 6470-6482
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1997 ◽
Vol 13
(1)
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pp. 33-44
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2020 ◽
pp. 763-773
2018 ◽
Vol 231
(2)
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pp. 227-242
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2012 ◽
Vol 91
(105)
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pp. 111-123
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2014 ◽
Vol 58
(2)
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pp. 242-263
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