dc.creator | Delgado Delgado, Manuel | es |
dc.creator | López Gómez, Julián | es |
dc.creator | Suárez Fernández, Antonio | es |
dc.date.accessioned | 2016-12-01T11:48:43Z | |
dc.date.available | 2016-12-01T11:48:43Z | |
dc.date.issued | 2004-08 | |
dc.identifier.citation | Delgado Delgado, M., López Gómez, J. y Suárez Fernández, A. (2004). Combining linear and nonlinear diffusion. Advanced Nonlinear Studies, 4 (3), 273-287. | |
dc.identifier.issn | 1536-1365 | es |
dc.identifier.issn | 2169-0375 | es |
dc.identifier.uri | http://hdl.handle.net/11441/49513 | |
dc.description.abstract | In this paper we study a generalized porous medium equation where the diffusion rate, say m(x) —spatially heterogeneous—, is assumed to be linear, m = 1, on a piece of the support domain, Ω1, and slow nonlinear, m(x) > 1, in its complement, Ωm := Ω \ Ω¯1. Most precisely, we characterize the existence of positive solutions and construct the corresponding global bifurcation diagram as one of the parameters of the model changes,
showing that a continuous transition occurs between the diagrams of the completely linear case (Ω = Ω1) and of the completely nonlinear case (Ωm = Ω). As a result, the effect of a localized slow diffusion rate with varying support is completely characterized. Our analysis is imperative in order to design porous media multi-components systems with changing diffusion rates. | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | De Gruyter | es |
dc.relation.ispartof | Advanced Nonlinear Studies, 4 (3), 273-287. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Nonlinear diffusion | es |
dc.subject | Spatial heterogeneities | es |
dc.subject | From linear to nonlinear diffusion | es |
dc.title | Combining linear and nonlinear diffusion | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.projectID | BFM2000-0797 | es |
dc.relation.projectID | BFM2003-06446 | es |
dc.relation.projectID | REN2003-00707 | es |
dc.relation.publisherversion | https://www.degruyter.com/view/j/ans.2004.4.issue-3/ans-2004-0303/ans-2004-0303.xml | es |
dc.identifier.doi | 10.1515/ans-2004-0303 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software | es |
idus.format.extent | 17 p. | es |
dc.journaltitle | Advanced Nonlinear Studies | es |
dc.publication.volumen | 4 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 273 | es |
dc.publication.endPage | 287 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/49513 | |
dc.contributor.funder | Ministerio de Ciencia y Tecnología (MCYT). España | |