Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion

dc.date.accessioned	2020-05-18T17:56:10Z
dc.date.available	2020-05-18T17:56:10Z
dc.date.created	2019-12-31T18:17:04Z
dc.date.issued	2020
dc.identifier.citation	Arumugam, Gurusamy Erhardt, André Henrik Eswaramoorthy, Indurekha Krishnan, Balachandran . Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion. Nonlinear Analysis: Real world applications. 2020, 54
dc.identifier.uri	http://hdl.handle.net/10852/75867
dc.description.abstract	In this paper, we consider the Keller–Segel chemotaxis system with additional cross-diffusion term in the second equation. This system is consisting of a fully nonlinear reaction–diffusion equations with additional cross-diffusion. We establish the existence of weak solutions to the considered system by using Schauder’s fixed point theorem, a priori energy estimates and the compactness results.	en_US
dc.language	EN
dc.rights	Attribution 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.title	Existence of weak solutions to the Keller-Segel chemotaxis system with additional cross-diffusion	en_US
dc.type	Journal article	en_US
dc.creator.author	Arumugam, Gurusamy
dc.creator.author	Erhardt, André Henrik
dc.creator.author	Eswaramoorthy, Indurekha
dc.creator.author	Krishnan, Balachandran
cristin.unitcode	185,15,13,0
cristin.unitname	Matematisk institutt
cristin.ispublished	true
cristin.fulltext	original
cristin.qualitycode	1
dc.identifier.cristin	1764599
dc.identifier.bibliographiccitation	info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Nonlinear Analysis: Real world applications&rft.volume=54&rft.spage=&rft.date=2020
dc.identifier.jtitle	Nonlinear Analysis: Real world applications
dc.identifier.volume	54
dc.identifier.doi	https://doi.org/10.1016/j.nonrwa.2020.103090
dc.identifier.urn	URN:NBN:no-79019
dc.subject.nvi	VDP::Analyse: 411VDP::Anvendt matematikk: 413
dc.type.document	Tidsskriftartikkel	en_US
dc.type.peerreviewed	Peer reviewed
dc.source.issn	1468-1218
dc.identifier.fulltext	Fulltext https://www.duo.uio.no/bitstream/handle/10852/75867/2/1-s2.0-S1468121820300080-main.pdf
dc.type.version	PublishedVersion
cristin.articleid	103090