The lack of polynomial stability to mixtures with frictional dissipation

We consider the system modeling a mixture of n materials with frictional damping. We show that the corresponding semigroup is exponentially stable if and only if the imaginary axis is contained in the resolvent set of the infinitesimal generator. In particular this implies the lack of polynomial sta...

Full description

Saved in:
Bibliographic Details
Published in:Journal of mathematical analysis and applications 2017-02, Vol.446 (2), p.1882-1897
Main Authors: Córdova Puma, Francis F., Muñoz Rivera, Jaime E.
Format: Article
Language:English
Subjects:
Exponential stability
Mixture of materials
Semigroups
Strong stability
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider the system modeling a mixture of n materials with frictional damping. We show that the corresponding semigroup is exponentially stable if and only if the imaginary axis is contained in the resolvent set of the infinitesimal generator. In particular this implies the lack of polynomial stability to the corresponding semigroup.
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2016.09.003