Morawetz's method for the decay of the solution of the exterior initial-boundary value problem for the linearized equation of dynamic elasticity

Charalambopoulos, A

dc.contributor.author	Charalambopoulos, A	en
dc.date.accessioned	2014-03-01T01:09:28Z
dc.date.available	2014-03-01T01:09:28Z
dc.date.issued	1993	en
dc.identifier.issn	0374-3535	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/11006
dc.subject	Initial Boundary Value Problem	en
dc.subject	Linear Equations	en
dc.subject	Time Dependent	en
dc.subject.classification	Engineering, Multidisciplinary	en
dc.subject.classification	Materials Science, Multidisciplinary	en
dc.subject.classification	Mechanics	en
dc.subject.other	Boundary value problems	en
dc.subject.other	Dynamics	en
dc.subject.other	Dynamic elasticity linearized equation	en
dc.subject.other	Exterior initial-boundary value problem	en
dc.subject.other	Harmonic forcing term	en
dc.subject.other	Morawetz's method	en
dc.subject.other	Elasticity	en
dc.title	Morawetz's method for the decay of the solution of the exterior initial-boundary value problem for the linearized equation of dynamic elasticity	en
heal.type	journalArticle	en
heal.identifier.primary	10.1007/BF00041623	en
heal.identifier.secondary	http://dx.doi.org/10.1007/BF00041623	en
heal.language	English	en
heal.publicationDate	1993	en
heal.abstract	In this paper, the behavior of the solution of the time-dependent linearized equation of dynamic elasticity is examined. For the homogeneous problem, it is proved that in the exterior of a star-shaped body on the surface of which the displacement field is zero, the solution decays at the rate t-1 as the time t tends to infinity. For the non-homogeneous problem with a harmonic forcing term, it is proved that for large times, the elastic material in the exterior of the body, tends to a harmonic motion, with the period of the external force. The convergence to the steady harmonic state solution is at the rate t-1/2 as t tends to infinity, and is uniform on bounded sets. © 1993 Kluwer Academic Publishers.	en
heal.publisher	Kluwer Academic Publishers	en
heal.journalName	Journal of Elasticity	en
dc.identifier.doi	10.1007/BF00041623	en
dc.identifier.isi	ISI:A1993LF64300003	en
dc.identifier.volume	31	en
dc.identifier.issue	1	en
dc.identifier.spage	47	en
dc.identifier.epage	69	en