孔隙弹性体系指数稳定性的结构和微热效应

IF 2.3 2区数学 Q1 MATHEMATICS, APPLIED

Studies in Applied Mathematics Pub Date : 2025-08-06 DOI:10.1111/sapm.70089

Marcel Lucas Picanço Nascimento, Anderson de Jesus Araújo Ramos, Mirelson Martins Freitas, Carlos Alberto da Silva Nonato

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引用次数: 0

摘要

本文研究了粘弹性、粘弹性和微温度作用下多孔弹性系统解的适定性和渐近性。我们给出了系统的指数稳定的惊人事实，即使在Σ条件下：= γ τ−ε 2 = 0 $\Sigma:= \gamma \tau - \varepsilon ^{2} = 0$，减小了系统的内部能量耗散。这一发现与最近文献中的结果形成对比，其中表明Σ = 0 $\Sigma = 0$破坏了热系统的指数稳定性。进一步证明了微热效应不足以保证解的解析性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

Structural and Microthermal Effects on the Exponential Stabilization of Poroelastic Systems

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Structural and Microthermal Effects on the Exponential Stabilization of Poroelastic Systems

In this work, we study the well-posedness and the asymptotic behavior of the solutions of a poroelastic system under the effects of viscoporosity, viscoelasticity, and microtemperature. We present the surprising fact of the exponential stabilization of the system, even under the condition $Σ : = γ τ - ε^{2} = 0$ , which reduces the internal energy dissipation of the system. This finding contrasts with recent results in the literature, where it is shown that $Σ = 0$ destroys the exponential stability of the thermal system. Furthermore, we prove that the microthermal effect is not sufficient to guarantee the analyticity of the solutions.

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来源期刊

Studies in Applied Mathematics 数学-应用数学

CiteScore

4.30

自引率

3.70%

发文量

审稿时长

>12 weeks

期刊介绍： Studies in Applied Mathematics explores the interplay between mathematics and the applied disciplines. It publishes papers that advance the understanding of physical processes, or develop new mathematical techniques applicable to physical and real-world problems. Its main themes include (but are not limited to) nonlinear phenomena, mathematical modeling, integrable systems, asymptotic analysis, inverse problems, numerical analysis, dynamical systems, scientific computing and applications to areas such as fluid mechanics, mathematical biology, and optics.