Well-posedness and exponential decay for a laminated beam with distributed delay term

被引：0

作者：

Douib, Madani ^{[1
]}

Zitouni, Salah ^{[2
]}

Djebabla, Abdelhak ^{[1
]}

机构：

[1] Annaba Univ, Fac Sci, Dept Math, POB 12, Annaba 23000, Algeria

[2] Souk Ahras Univ, Dept Math & Informat, POB 1553, Souk Ahras 41000, Algeria

来源：

STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA | 2022年 / 67卷 / 03期

关键词：

Laminated beam; Fourier?s law; distributed delay term; well-posedness; exponential decay; WAVE-EQUATION; TIME DELAYS; BOUNDARY; STABILITY; STABILIZATION; SYSTEMS; THERMOELASTICITY; MEMORY;

D O I：

10.24193/subbmath.2022.3.07

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the well-posedness and the asymptotic behavior of a one-dimensional laminated beam system with a distributed delay term in the first equation, where the heat conduction is given by Fourier's law effective in the rotation angle displacements. We first give the well-posedness of the system by using the semigroup method. Then, we show that the system is exponentially stable under the assumption of equal wave speeds.

引用

页码：545 / 562

页数：18

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