An aggregation equation with a nonlocal flux

Granero Belinchón, Rafael; Orive Illera, Rafael

doi:10.1016/j.na.2014.05.018

dc.contributor.author	Granero Belinchón, Rafael
dc.contributor.author	Orive Illera, Rafael
dc.contributor.other	Universidad de Cantabria	es_ES
dc.date.accessioned	2023-08-07T07:10:30Z
dc.date.available	2023-08-07T07:10:30Z
dc.date.issued	2014-10
dc.identifier.issn	0362-546X
dc.identifier.issn	1873-5215
dc.identifier.other	MTM2011-26696	es_ES
dc.identifier.other	SEV-2011-0087	es_ES
dc.identifier.uri	https://hdl.handle.net/10902/29605
dc.description.abstract	In this paper we study an aggregation equation with a general nonlocal flux. We study the local well-posedness and some conditions ensuring global existence. We are also interested in the differences arising when the nonlinearity in the flux changes. Thus, we perform some numerics corresponding to different convexities for the nonlinearity in the equation.	es_ES
dc.description.sponsorship	The authors are supported by the Grants MTM2011-26696 and SEV-2011-0087 from Ministerio de Ciencia e Innovaci´on (MICINN).	es_ES
dc.format.extent	22 p.	es_ES
dc.language.iso	eng	es_ES
dc.publisher	Elsevier	es_ES
dc.rights	© 2014. This manuscript version is made available under the CC-BY-NC-ND 4.0 license	es_ES
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.source	Nonlinear Analysis, 2014, 108, 260-274	es_ES
dc.subject.other	Patlak-Keller-Segel Model	es_ES
dc.subject.other	Well-posedness	es_ES
dc.subject.other	Blow-up	es_ES
dc.subject.other	Simulation	es_ES
dc.subject.other	Aggregation	es_ES
dc.title	An aggregation equation with a nonlocal flux	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.relation.publisherVersion	https://doi.org/10.1016/j.na.2014.05.018	es_ES
dc.rights.accessRights	openAccess	es_ES
dc.relation.projectID	info:eu-repo/grantAgreement/MICINN//MTM2011-26696/ES/ECUACIONES EN DERIVADAS PARCIALES QUE PROVIENEN DE LA MECANICA DE FLUIDOS/
dc.identifier.DOI	10.1016/j.na.2014.05.018
dc.type.version	acceptedVersion	es_ES