A filtration problem with nonlinear Darcy’s law and generalized boundary conditions.
| dc.contributor.author | Carrillo Menéndez, José | |
| dc.contributor.author | Lyaghfouri, A. | |
| dc.date.accessioned | 2023-06-20T16:55:44Z | |
| dc.date.available | 2023-06-20T16:55:44Z | |
| dc.date.issued | 2000 | |
| dc.description.abstract | This article studies a filtration problems with nonlinear Darcy’s law, e.g. ~v = −|rp|q−2rp, where p is the fluid pressure , q > 1, and ~v is the velocity, governed by the mass conservation law div(~v) = 0. This leads to a free boundary problem since the movement of the fluid takes place only in the “wet part” of the domain which is also unknown. The authors give a unified formulation of the problem to include general boundary conditions, such as Dirichlet, Neumann, and so-called leaky boundary conditions. The existence of (weak) solutions is established, for both bounded and unbounded domains, by an approximation method. | |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15953 | |
| dc.identifier.issn | 1079-9389 | |
| dc.identifier.officialurl | http://www.aftabi.com/advancesindiffer.html | |
| dc.identifier.relatedurl | http://www.aftabi.com | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57446 | |
| dc.issue.number | 4-6 | |
| dc.journal.title | Advances in Differential Equations | |
| dc.page.final | 555 | |
| dc.page.initial | 515 | |
| dc.publisher | Khayyam | |
| dc.rights.accessRights | metadata only access | |
| dc.subject.cdu | 517.9 | |
| dc.subject.keyword | Filtration | |
| dc.subject.keyword | Dam problem | |
| dc.subject.keyword | Variational inequality | |
| dc.subject.keyword | Existence | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | A filtration problem with nonlinear Darcy’s law and generalized boundary conditions. | |
| dc.type | journal article | |
| dc.volume.number | 5 | |
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