Phragmén–Lindelöf alternative and continuous dependence-type results for the thermoelasticity of type III
Phragmén–Lindelöf alternative and continuous dependence-type results for the thermoelasticity of type III
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DOI：
10.1080/00036810801927963
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发表时间：
2008-04
影响因子：
1.1
通讯作者：
Yan Liu;Changhao Lin
中科院分区：
文献类型：
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作者：
Yan Liu;Changhao Lin
本文研究了三维圆柱域中Ⅲ型热弹性方程。我们证明了 Phragmén-Lindelöf 替代结果，即随着距入口部分的距离趋于无穷大，平滑解要么呈指数增长，要么呈指数衰减。在衰变情况下，作者指出了如何根据数据明确限制总能量。本文还证明了解对系数 ρ 的连续依赖性。
In this article, equations of thermoelasticity of type III in three-dimensional cylindrical domain are studied. We prove a Phragmén–Lindelöf alternative result, i.e. the smooth solutions either grow or decay exponentially as the distance from the entry section tends to infinity. In the decay case, the authors indicate how to bound explicitly the total energy in terms of data. The continuous dependence of the solutions on the coefficient ρ is also proved in this article.