Asymptotic Behavior in a Laminated Beams Due Interfacial Slip with a Boundary Dissipation of Fractional Derivative Type

被引：12

作者：

Maryati, Tita ^{[1
]}

Munoz Rivera, Jaime ^{[2
,3
]}

Poblete, Veronica ^{[4
]}

Vera, Octavio ^{[2
]}

机构：

[1] Islamic State Univ UIN, Math Educ Dept, South Tangerang, Indonesia

[2] Univ Bio Bio, Dept Matemat, Concepcion, Chile

[3] LNCC Petropolis, Petropolis, RJ, Brazil

[4] Univ Chile, Dept Matemat, Santiago, Chile

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 2021年 / 84卷 / 01期

关键词：

Thermoelastic structure; Exponential stability; Polynomial stability; Laminated beam; Interfacial slip; Semigroup theory; Fractional derivative; STABILITY;

D O I：

10.1007/s00245-019-09639-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider a laminated beams due interfacial slip with control boundary conditions of fractional derivative type. We show the existence and uniqueness of solutions. Furthermore, concerning the asymptotic behavior we show the lack of exponential stability and the polynomial decay rate of the corresponding semigroup by using the classic theorem of Borichev and Tomilov.

引用

页码：85 / 102

页数：18

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