具有时滞的非线性多孔弹性系统的指数稳定性

Q3 Mathematics

Communications in Mathematics Pub Date : 2022-12-07 DOI:10.46298/cm.10439

M. J. Santos, C. Raposo, L. Miranda, B. Feng, C. Alberto, Raposo da

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引用次数: 0

摘要

本文研究了一类时滞非线性多孔弹性系统整体解的存在性和指数衰减问题。非线性项以及作用于体积分数方程中的时滞。为了得到全局解的存在唯一性，我们将利用线性算子的半群理论，在涉及系统系数的一定关系下，结合lyapunof泛函，建立系统相关能量的指数衰减。

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 a nonlinear porous-elastic system with delay

In this work, we consider the existence of global solution and the exponential decay of a nonlinear porous elastic system with time delay. The nonlinear term as well as the delay acting in the equation of the volume fraction. In order to obtain the existence and uniqueness of a global solution, we will use the semigroup theory of linear operators and under a certain relation involving the coefficients of the system together with a Lyapunov functional, we will establish the exponential decay of the energy associated to the system.

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来源期刊

Communications in Mathematics Mathematics-Mathematics (all)

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

45 weeks

期刊介绍： Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.