Analyticity of hybrid systems arising in visco and thermo elastic structures

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:479

Article

Ferreira, Marcio V.¹  Munoz Rivera, Jaime E.^2,3 

[1] IME, Rio De Janeiro, RJ, Brazil

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

[3] LNCC, Petropolis, RJ, Brazil

关键词: Acoustic hybrid system;    Analyticity;    Exponential decay;    Kelvin-Voigt damping;    Thermoelastic beam;   

DOI  :  10.1016/j.jmaa.2019.06.042

来源: Elsevier

【 摘 要 】

We consider two systems arising in a two-dimensional viscoelastic fluid-structure interaction, one of them coupled with a wave equation with interior damping of Kelvin-Voigt type. In the second model, the acoustic vibrations of the viscous fluid which fills the two-dimensional interior cavity are coupled with the mechanical vibrations of a one-dimensional thermoelastic beam. Therefore, the systems are related to the problem of the active control of noise in a cavity. Our main results are that the corresponding semigroups are analytic. In particular we show the exponential stability of the models. (C) 2019 Elsevier Inc. All rights reserved.

【 授权许可】

Free