Porous-elasticity equations with indefinite damping

被引：1

作者：

Almeida Jr, D. S. Almeida ^{[1
]}

Santos, M. L. ^{[1
]}

Rivera, J. E. Munoz ^{[2
]}

dos Santos, M. J. ^{[2
]}

机构：

[1] Fed Univ, PhD Program Math, Augusto Correa St 01, BR-66075110 Belem, PA, Brazil

[2] Natl Lab Sci Computat, Getulio Vargas St 333, BR-25651075 Petropolis, RJ, Brazil

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2023年 / 422卷

关键词：

Linear porous-elasticity; Dispersion analysis; Spectrum determined growth property; Wave propagation speeds; EXPONENTIAL STABILITY; WAVE-EQUATIONS; TIME DECAY; STABILIZATION; SYSTEM; ENERGY; THERMOELASTICITY; SOLIDS;

D O I：

10.1016/j.cam.2022.114890

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the one-dimensional porous-elasticity system with indefinite damping mechanism of type given by Tau(x) (possibly changing sign) acting only in the equation for the volume fraction and we prove that the system is exponentially stable under particular relationship between coefficients of system and provided Tau = integral 0L Tau(x)dx > 0 and fi Tau - Tau fiL2 < epsilon for epsilon small enough. The decay rate will be described explicitly for constant damping. Our approach is inspired in the work due to Munoz Rivera and Racke (Journal of Mathematical Analysis and Applications, 341, 1068-1083. 2008) and we prove that the system has the spectrum determined growth (SDG).(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：17

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