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A stability result for a memory-type Laminated-thermoelastic system with Maxwell-Cattaneo heat conduction

机译:具有Maxwell-Cattaneo热传导的记忆型层压热弹性系统的稳定性结果

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摘要

The present article investigates a thermo-viscoelastic laminated beam system, where the heat conduction is given by Maxwell-Cattaneo's law (popularly known as second sound). We establish explicit and general stability results for the solution energy in the case of equal-speed propagation and nonequal speed. Our results contain the exponential and polynomial decay as particular cases. We also present some examples to illustrate our theoretical findings. These new results generalize and improve many results in the literature.
机译:本文研究了热粘弹性层压梁系统,其中Maxwell-Cattaneo的法律(普遍称为第二声音)给出热传导。在平等传播和非速度的情况下,我们为解决方案能量建立明确和一般的稳定性结果。我们的结果包含特定情况的指数和多项式衰减。我们还提出了一些例子来说明我们的理论发现。这些新的结果概括并提高了文献中的许多结果。

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