Please use this identifier to cite or link to this item:
https://hdl.handle.net/10316/11234
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Bendahmane, Mostafa | - |
dc.contributor.author | Bürger, Raimund | - |
dc.contributor.author | Baier, Ricardo Ruiz | - |
dc.contributor.author | Urbano, José Miguel | - |
dc.date.accessioned | 2009-08-27T15:01:16Z | - |
dc.date.available | 2009-08-27T15:01:16Z | - |
dc.date.issued | 2008 | - |
dc.identifier.citation | Pré-Publicações DMUC. 08-41 (2008) | en_US |
dc.identifier.uri | https://hdl.handle.net/10316/11234 | - |
dc.description.abstract | This paper addresses the existence and regularity of weak solutions for a fully parabolic model of chemotaxis, with prevention of overcrowding, that degenerates in a two-sided fashion, including an extra nonlinearity represented by a p- Laplacian diffusion term. To prove the existence of weak solutions, a Schauder fixedpoint argument is applied to a regularized problem and the compactness method is used to pass to the limit. The local H¨older regularity of weak solutions is established using the method of intrinsic scaling. The results are a contribution to showing, qualitatively, to what extent the properties of the classical Keller-Segel chemotaxis models are preserved in a more general setting. Some numerical examples illustrate the model. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Centro de Matemática da Universidade de Coimbra | en_US |
dc.rights | openAccess | eng |
dc.subject | Chemotaxis | en_US |
dc.subject | Reaction-diffusion equations | en_US |
dc.subject | Degenerate PDE | en_US |
dc.subject | Parabolic p-Laplacian | en_US |
dc.subject | Doubly nonlinear | en_US |
dc.subject | Intrinsic scaling | en_US |
dc.title | On a doubly nonlinear diffusion model of chemotaxis with prevention of overcrowding | en_US |
dc.type | preprint | en_US |
uc.controloAutoridade | Sim | - |
item.fulltext | Com Texto completo | - |
item.languageiso639-1 | en | - |
item.openairecristype | http://purl.org/coar/resource_type/c_816b | - |
item.openairetype | preprint | - |
item.grantfulltext | open | - |
item.cerifentitytype | Publications | - |
crisitem.author.researchunit | CMUC - Centre for Mathematics of the University of Coimbra | - |
crisitem.author.orcid | 0000-0002-5715-2588 | - |
Appears in Collections: | FCTUC Matemática - Vários |
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File | Description | Size | Format | |
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On a doubly nonlinear diffusion model of chemotaxis.pdf | 817.42 kB | Adobe PDF | View/Open |
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