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.
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页码：28188 / 28209
页数：22
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