The lack of exponential stability of the hybrid Bresse system

Rifo, Sergio; Villagran, Octavio Vera; Munoz Rivera, Jaime E.

Abstract

In this paper we consider the dissipative Bresse system with an attached hollow tip body that contains granular material, the resulting model being called hybrid system. Our main result is to show that the corresponding model is not exponentially stable. Moreover, we show that the solution decays polynomially to zero as (1+t)(-1/2) when t -> infinity. (C) 2015 Elsevier Inc. All rights reserved.

Más información

Título según WOS: ID WOS:000369115200001 Not found in local WOS DB
Título de la Revista: JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volumen: 436
Número: 1
Editorial: ACADEMIC PRESS INC ELSEVIER SCIENCE
Fecha de publicación: 2016
Página de inicio: 1
Página final: 15
DOI:

10.1016/j.jmaa.2015.11.041

Notas: ISI