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

作     者：Maryati, Tita Munoz Rivera, Jaime Poblete, Veronica Vera, Octavio 

作者机构：Islamic State Univ UIN Math Educ Dept South Tangerang Indonesia Univ Bio Bio Dept Matemat Concepcion Chile LNCC Petropolis Petropolis RJ Brazil Univ Chile Dept Matemat Santiago Chile 

出 版 物：《APPLIED MATHEMATICS AND OPTIMIZATION》 (应用数学和优化)

年 卷 期：2021年第84卷第1期

页      面：85-102页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：CNPq-Brazil [158706/2014-5, 164793/2015-1, 402689/2012-7] CNPq (PCI-LNCC/MCT) Universidad del Bio-Bio [GI 171608/VC] Fondecyt 

主　　题：Thermoelastic structure Exponential stability Polynomial stability Laminated beam Interfacial slip Semigroup theory Fractional derivative 

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.