Decay rates of magnetoelastic waves in an unbounded conductive medium

We study the uniform decay of the total energy of solutions for a system in magnetoelasticity with localized damping near infinity in an exterior 3-D domain. Using appropriate multipliers and recent work by Charao and Ikekata [3], we conclude that the energy decays at the same rate as $(1+t)^{-1...

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Main Authors: Ruy Coimbra Charao, Jauber Cavalcante Oliveira, Gustavo Perla Menzala
Format: Article
Language:English
Published: Texas State University 2011-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/127/abstr.html
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spelling doaj-379eecf88ecb4c7bad9268bfbdbd9b762020-11-24T22:11:49ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912011-10-012011127,114Decay rates of magnetoelastic waves in an unbounded conductive mediumRuy Coimbra CharaoJauber Cavalcante OliveiraGustavo Perla MenzalaWe study the uniform decay of the total energy of solutions for a system in magnetoelasticity with localized damping near infinity in an exterior 3-D domain. Using appropriate multipliers and recent work by Charao and Ikekata [3], we conclude that the energy decays at the same rate as $(1+t)^{-1}$ when $to+infty$. http://ejde.math.txstate.edu/Volumes/2011/127/abstr.htmlMagnetoelastic wavesexterior domainlocalized dampingenergy decay
collection DOAJ
language English
format Article
sources DOAJ
author Ruy Coimbra Charao
Jauber Cavalcante Oliveira
Gustavo Perla Menzala
spellingShingle Ruy Coimbra Charao
Jauber Cavalcante Oliveira
Gustavo Perla Menzala
Decay rates of magnetoelastic waves in an unbounded conductive medium
Electronic Journal of Differential Equations
Magnetoelastic waves
exterior domain
localized damping
energy decay
author_facet Ruy Coimbra Charao
Jauber Cavalcante Oliveira
Gustavo Perla Menzala
author_sort Ruy Coimbra Charao
title Decay rates of magnetoelastic waves in an unbounded conductive medium
title_short Decay rates of magnetoelastic waves in an unbounded conductive medium
title_full Decay rates of magnetoelastic waves in an unbounded conductive medium
title_fullStr Decay rates of magnetoelastic waves in an unbounded conductive medium
title_full_unstemmed Decay rates of magnetoelastic waves in an unbounded conductive medium
title_sort decay rates of magnetoelastic waves in an unbounded conductive medium
publisher Texas State University
series Electronic Journal of Differential Equations
issn 1072-6691
publishDate 2011-10-01
description We study the uniform decay of the total energy of solutions for a system in magnetoelasticity with localized damping near infinity in an exterior 3-D domain. Using appropriate multipliers and recent work by Charao and Ikekata [3], we conclude that the energy decays at the same rate as $(1+t)^{-1}$ when $to+infty$.
topic Magnetoelastic waves
exterior domain
localized damping
energy decay
url http://ejde.math.txstate.edu/Volumes/2011/127/abstr.html
work_keys_str_mv AT ruycoimbracharao decayratesofmagnetoelasticwavesinanunboundedconductivemedium
AT jaubercavalcanteoliveira decayratesofmagnetoelasticwavesinanunboundedconductivemedium
AT gustavoperlamenzala decayratesofmagnetoelasticwavesinanunboundedconductivemedium
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