dc.creator | López Gómez. Julián | es |
dc.creator | Suárez Fernández, Antonio | es |
dc.date.accessioned | 2016-05-17T06:14:29Z | |
dc.date.available | 2016-05-17T06:14:29Z | |
dc.date.issued | 2004 | |
dc.identifier.citation | López Gómez, J. y Suárez Fernández, A. (2004). Combining fast, linear and slow diffusion. Topological Methods in Nonlinear Analysis, 23, 275-300. | es |
dc.identifier.issn | 1230-3429 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41295 | |
dc.description.abstract | Although the pioneering studies of G. I. Barenblatt ([8] G. I. Barenblatt, On some unsteady motions of a liquid or a gas in a porous medium,
Prikl. Mat. Mekh. 16 (1952), 67–68) and A. G. Aronson and L. A. Peletier ([7] A. G. Aronson and L. A. Peletier, Large time behaviour of solutions of some porous medium equation in bounded domains, J. Differential Equations 39 (1981), 378–412.) did result into a huge industry around the porous media equation, none further study analyzed the effect of combining fast, slow, and linear diffusion simultaneously, in a spatially heterogeneous porous medium. Actually, it might be this is the first work where such a problem has been addressed. Our main findings show how the heterogeneous model possesses two different regimes in the presence of a priori bounds. The minimal steady-state of the model exhibits a genuine fast diffusion behavior, whereas the remaining states are rather reminiscent of the purely slow diffusion model. The mathematical treatment of these heterogeneous problems should deserve a huge interest from the point of view of its applications in fluid dynamics and population evolution. | es |
dc.description.sponsorship | Ministerio de Ciencia y Tecnología | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Juliusz Schauder Center for Nonlinear Studies | es |
dc.relation.ispartof | Topological Methods in Nonlinear Analysis, 23, 275-300 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Heterogeneous nonlinear diffusion | es |
dc.subject | fast | es |
dc.subject | slow and linear diffusion | es |
dc.title | Combining fast, linear and slow diffusion | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | 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 | BFM2003-06466 | es |
dc.relation.projectID | REN2003-00707 | es |
dc.relation.publisherversion | http://dx.doi.org/10.12775/TMNA.2004.012 | |
dc.identifier.doi | 10.12775/TMNA.2004.012 | |
idus.format.extent | 26 p. | es |
dc.journaltitle | Topological Methods in Nonlinear Analysis | es |
dc.publication.volumen | 23 | es |
dc.publication.initialPage | 275 | es |
dc.publication.endPage | 300 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41295 | |
dc.contributor.funder | Ministerio de Ciencia y Tecnología (MCYT). España | |