具有流体饱和和边界耗散的分数微分型多孔弹性土

IF 1.9 3区数学 Q1 MATHEMATICS

Qualitative Theory of Dynamical Systems Pub Date : 2024-01-06 DOI:10.1007/s12346-023-00937-2

Carlos Nonato, Abbes Benaissa, Anderson Ramos, Carlos Raposo, Mirelson Freitas

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引用次数: 0

摘要

本文论述了膨胀多孔弹性土线性等温理论中的一维系统，该系统受分数导数型边界阻尼的影响。我们应用了半群理论。我们通过 Lumer-Phillips 定理证明了问题的可解决性。我们利用阿伦特-巴蒂（Arendt-Batty）提出的一般标准证明了缺乏指数稳定性和强稳定性。通过应用 Borichev-Tomilov 定理，我们获得了多项式稳定性结果。

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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Porous Elastic Soils with Fluid Saturation and Boundary Dissipation of Fractional Derivative Type

This paper deals with a one-dimensional system in the linear isothermal theory of swelling porous elastic soils subject to fractional derivative-type boundary damping. We apply the semigroup theory. We prove well-posedness by the Lumer–Phillips theorem. We show the lack of exponential stability and strong stability is proved by using general criteria due to Arendt–Batty. Polynomial stability result is obtained by applying the Borichev–Tomilov theorem.

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来源期刊

Qualitative Theory of Dynamical Systems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.50

自引率

14.30%

发文量

130

期刊介绍： Qualitative Theory of Dynamical Systems (QTDS) publishes high-quality peer-reviewed research articles on the theory and applications of discrete and continuous dynamical systems. The journal addresses mathematicians as well as engineers, physicists, and other scientists who use dynamical systems as valuable research tools. The journal is not interested in numerical results, except if these illustrate theoretical results previously proved.