Exponential decay to partially thermoelastic materials
Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 605-629

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We study the thermoelastic system for material which are partially thermoelastic. That is, a material divided into two parts, one of them a good conductor of heat, so there exists a thermoelastic phenomenon. The other is a bad conductor of heat so there is not heat flux. We prove for such models that the solution decays exponentially as time goes to infinity. We also consider a nonlinear case.
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     author = {Mu\~noz Rivera, Jaime E. and Bisognin, Vanilde and Bisognin, Eleni},
     title = {Exponential decay to partially thermoelastic materials},
     journal = {Bollettino della Unione matematica italiana},
     pages = {605--629},
     publisher = {mathdoc},
     volume = {Ser. 8, 5B},
     number = {3},
     year = {2002},
     zbl = {1177.74178},
     mrnumber = {MR1934370},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a2/}
}
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Muñoz Rivera, Jaime E.; Bisognin, Vanilde; Bisognin, Eleni. Exponential decay to partially thermoelastic materials. Bollettino della Unione matematica italiana, Série 8, 5B (2002) no. 3, pp. 605-629. http://geodesic.mathdoc.fr/item/BUMI_2002_8_5B_3_a2/