Swelling porous elastic soils with fluid saturation and delay term in the internal feedback

被引：0

作者：

Nonato, Carlos A. S. ^{[1
]}

Nascimento, Flavio A. F. ^{[1
]}

Dos Santos, Manoel J. ^{[2
]}

Costa, Andre L. A. ^{[1
]}

机构：

[1] Univ Estadual Ceara, Ctr Sci & Technol, 1700 Dr Silas Munguba Ave, BR-60714903 Fortaleza, CE, Brazil

[2] Fed Univ Para, Fac Exact Sci & Technol, Manoel de Abreu St, BR-68440000 Abaetetuba, PA, Brazil

来源：

RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2025年 / 74卷 / 02期

关键词：

Swelling porous elastic; Exponential decay; Time-varying delay; EXPONENTIAL STABILITY; STABILIZATION; EQUATIONS; SYSTEM;

D O I：

10.1007/s12215-025-01199-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This work addresses a problem related to the one-dimensional system in the linear isothermal theory of swelling porous elastic soils under the influence of a fractional delay mechanism. Using classical semigroup theory, we prove the existence of a global solution under a smallness condition on the fractional delay. Furthermore, we apply the energy method without assuming equal wave speed propagation to demonstrate exponential stability.

引用

页数：22

共 37 条

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[37] Asymptotic behavior of the linearized compressible barotropic Navier-Stokes system with a time varying delay term in the boundary or internal feedback
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MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (16) : 17288 - 17312

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