二阶声线性边界耗散热弹性系统的多项式稳定性

Revista Integración Pub Date : 2022-03-01 DOI:10.18273/revint.v40n1-2022003

Ruth Milena Cortés

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引用次数: 0

摘要

本文展示了一个定义为Ω ×R+， Ω∧Rn, n≥2的热弹性系统，其热传导由卡塔尼奥定律给出。通过在部分边界上引入线性耗散机制，得到了系统的适定性和解中能量的多项式衰减。

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Polynomial stability of a thermoelastic system with linear boundary dissipation and second sound

This paper shows a thermoelastic system defined in Ω ×R+, Ω ⊂ Rn, n ≥ 2 with heat conduction given by Cattaneo’s law. By introducing a linear dissipation mechanism on a part of the boundary, we obtain the well-posedness of the system and the polynomial decay of the energy in the solution.

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Revista Integración

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