无二次谱多孔弹性系统的良好假设性和指数稳定性

IF 1.2 4区数学 Q2 MATHEMATICS, APPLIED

Acta Applicandae Mathematicae Pub Date : 2024-06-03 DOI:10.1007/s10440-024-00661-2

Afaf Ahmima, Abdelfeteh Fareh, Salim A. Messaoudi

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引用次数: 0

摘要

这项工作的重点是一个简化的多孔弹性系统的好拟性和指数稳定性。通过省略多孔弹性系统中函数 \(\varphi \)的二次导数项，我们使系统摆脱了二次谱的破坏性后果。我们考虑了弹性耗散，并通过使用 Hille-Yosida therorem 和椭圆方程的一些参数证明了其良好拟合性。接下来，我们使用乘法器方法，在不限制系统系数的情况下建立了指数衰减结果。

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Well Posedness and Exponential Stability of a Porous Elastic System Free of Second Spectrum

This work focusses on the well–posedness and the exponential stability of a simplified porous elastic system. By omitting the second time derivative term of the function \(\varphi \) in the porous elastic system, we make the system free of the damaging consequences of the second spectrum. We consider an elastic dissipation and prove the well–posedness by the use of Hille–Yosida therorem and some arguments of elliptic equations. Next, we use the multiplier method and establish an exponential decay result without any restriction on coefficients of the system.

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来源期刊

Acta Applicandae Mathematicae 数学-应用数学

CiteScore

2.80

自引率

6.20%

发文量

审稿时长

16.2 months

期刊介绍： Acta Applicandae Mathematicae is devoted to the art and techniques of applying mathematics and the development of new, applicable mathematical methods. Covering a large spectrum from modeling to qualitative analysis and computational methods, Acta Applicandae Mathematicae contains papers on different aspects of the relationship between theory and applications, ranging from descriptive papers on actual applications meeting contemporary mathematical standards to proofs of new and deep theorems in applied mathematics.