Gurtin-Pipkin通量多孔热弹性系统的指数稳定性

Pub Date : 2023-06-28 DOI:10.58997/ejde.2023.44

Jianghao Hao, Jing Yang

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摘要

在本文中，我们研究了具有Gurtin-Pipkin通量的多孔热弹性系统的稳定性。在对热通量松弛核导数的适当假设下，应用半群理论建立了解的存在性和唯一性，并通过预解式的估计证明了系统在不考虑波速的情况下的指数稳定性

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Exponential stability for porous thermoelastic systems with Gurtin-Pipkin flux

In this article, we study the stability of a porous thermoelastic system with Gurtin-Pipkin flux. Under suitable assumptions for the derivative of the heat flux relaxation kernel, we establish the existence and uniqueness of solution by applying the semigroup theory, and prove the exponential stability of system without considering the wave velocity by the means of estimates of the resolvent

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