Similarity solutions for a multi-dimensional replicator dynamics equation

Papanicolaou, VG; Smyrlis, G

dc.contributor.author	Papanicolaou, VG	en
dc.contributor.author	Smyrlis, G	en
dc.date.accessioned	2014-03-01T01:31:54Z
dc.date.available	2014-03-01T01:31:54Z
dc.date.issued	2009	en
dc.identifier.issn	0362-546X	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/19969
dc.subject	Laplacian	en
dc.subject	Nonlinear degenerate parabolic PDE with a nonlocal term	en
dc.subject	Replicator dynamics problem	en
dc.subject	Self-similar solutions	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.classification	Mathematics	en
dc.subject.other	Laplacian	en
dc.subject.other	Nonlinear degenerate parabolic PDE with a nonlocal term	en
dc.subject.other	Nonlocal term	en
dc.subject.other	One parameter family	en
dc.subject.other	Parabolic Equations	en
dc.subject.other	Replicator dynamics	en
dc.subject.other	Replicator dynamics problem	en
dc.subject.other	Self-similar solution	en
dc.subject.other	Self-similar solutions	en
dc.subject.other	Similarity solution	en
dc.subject.other	Aircraft engines	en
dc.subject.other	Dynamics	en
dc.subject.other	Laplace transforms	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Nonlinear equations	en
dc.title	Similarity solutions for a multi-dimensional replicator dynamics equation	en
heal.type	journalArticle	en
heal.identifier.primary	10.1016/j.na.2009.01.227	en
heal.identifier.secondary	http://dx.doi.org/10.1016/j.na.2009.01.227	en
heal.language	English	en
heal.publicationDate	2009	en
heal.abstract	We construct a one-parameter family of self-similar solutions for a nonlinear degenerate multi-dimensional parabolic equation containing a nonlocal term. All these solutions are strictly positive and their integral over the whole space is 1. The equation serves as a replicator dynamics model where the set of strategies is a continuum. (C) 2009 Elsevier Ltd. All rights reserved.	en
heal.publisher	PERGAMON-ELSEVIER SCIENCE LTD	en
heal.journalName	Nonlinear Analysis, Theory, Methods and Applications	en
dc.identifier.doi	10.1016/j.na.2009.01.227	en
dc.identifier.isi	ISI:000267405300076	en
dc.identifier.volume	71	en
dc.identifier.issue	7-8	en
dc.identifier.spage	3185	en
dc.identifier.epage	3196	en