The rate at which energy decays in a viscously damped hinged Euler-Bernoulli beam

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:257

Article

Ammari, Kais¹  Dimassi, Mouez²  Zerzeri, Maher³ 

[1] Univ Monastir, Fac Sci Monastir, Dept Math, UR Anal & Controle Edp,UR13ES64, Monastir 5019, Tunisia

[2] Univ Bordeaux 1, CNRS, UMR 5251, IMB, F-33405 Talence, France

[3] Univ Paris 13, CNRS, UMR 7539, LAGA, F-93430 Villetaneuse, France

关键词: Rate of decay;    Euler-Bernoulli beam;    Spectral abscissa;    Riesz basis;   

DOI  :  10.1016/j.jde.2014.06.020

来源: Elsevier

【 摘 要 】

We study the best decay rate of the solutions of a damped Euler Bernoulli beam equation with a homogeneous Dirichlet boundary conditions. We show that the fastest decay rate is given by the supremum of the real part of the spectrum of the infinitesimal generator of the underlying semigroup, if the damping coefficient is in L-infinity(0, 1). (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free