Well-posedness and stabilization of a type three layer beam system with Gurtin-Pipkin's thermal law

被引：5

作者：

Mukiawa, Soh Edwin ^{[1
]}

机构：

[1] Univ Hafr Al Batin, Dept Math, Hafar al Batin 31991, Saudi Arabia

来源：

AIMS MATHEMATICS | 2023年 / 8卷 / 12期

关键词：

Rao-Nakra; triple-layer beam beam; Gurtin-Pipkin conduction; well-posedness; stability analysis; RAO-NAKRA PLATE; EXACT CONTROLLABILITY; TIMOSHENKO SYSTEMS; STABILITY; EQUATIONS;

D O I：

10.3934/math.20231443

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The goal of this work is to study the well-posedness and the asymptotic behavior of solutions of a triple beam system commonly known as the Rao-Nakra beam model. We consider the effect of Gurtin-Pipkin's thermal law on the outer layers of the beam system. Using standard semi -group theory for linear operators and the multiplier method, we establish the existence and uniqueness of weak global solution, as well as a stability result.

引用

页码：28188 / 28209

页数：22