Behaviour of a non-local equation modelling linear friction welding

Kavallaris, NI; Lacey, AA; Nikolopoulos, CV; Voong, C

dc.contributor.author	Kavallaris, NI	en
dc.contributor.author	Lacey, AA	en
dc.contributor.author	Nikolopoulos, CV	en
dc.contributor.author	Voong, C	en
dc.date.accessioned	2014-03-01T01:25:58Z
dc.date.available	2014-03-01T01:25:58Z
dc.date.issued	2007	en
dc.identifier.issn	0272-4960	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/17852
dc.subject	Non-local parabolic problems	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Convergence of numerical methods	en
dc.subject.other	Linear systems	en
dc.subject.other	Mathematical models	en
dc.subject.other	Global existence	en
dc.subject.other	Non-local equation modelling	en
dc.subject.other	Friction welding	en
dc.title	Behaviour of a non-local equation modelling linear friction welding	en
heal.type	journalArticle	en
heal.identifier.primary	10.1093/imamat/hxm031	en
heal.identifier.secondary	http://dx.doi.org/10.1093/imamat/hxm031	en
heal.language	English	en
heal.publicationDate	2007	en
heal.abstract	A non-local parabolic equation modelling linear friction welding is studied. The equation applies on the half line and contains a non-linearity of the form f(u)/(∫0∞ f(u)dy)1+a. For f(u) = eu, global existence and convergence to a steady state are proved. Numerical calculations are also carried out for this case and for f(u) = (-u)1/a. © The Author 2007. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.	en
heal.publisher	OXFORD UNIV PRESS	en
heal.journalName	IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications)	en
dc.identifier.doi	10.1093/imamat/hxm031	en
dc.identifier.isi	ISI:000250681300008	en
dc.identifier.volume	72	en
dc.identifier.issue	5	en
dc.identifier.spage	597	en
dc.identifier.epage	616	en