dc.creator | Azérad, Pascal | es |
dc.creator | Guillén González, Francisco Manuel | es |
dc.date.accessioned | 2016-05-16T10:39:46Z | |
dc.date.available | 2016-05-16T10:39:46Z | |
dc.date.issued | 2001 | |
dc.identifier.citation | Azérad, P. y Guillén González, F.M. (2001). Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics. SIAM Journal on Mathematical Analysis, 33 (4), 847-859. | es |
dc.identifier.issn | 0036-1410 | es |
dc.identifier.issn | 1095-7154 | es |
dc.identifier.uri | http://hdl.handle.net/11441/41261 | |
dc.description.abstract | Geophysical fluids all exhibit a common feature: their aspect ratio (depth to horizontal width) is very small. This leads to an asymptotic model widely used in meteorology, oceanography, and limnology, namely the hydrostatic approximation of the time-dependent incompressible Navier–Stokes equations. It relies on the hypothesis that pressure increases linearly in the vertical direction. In the following, we prove a convergence and existence theorem for this model by means of anisotropic estimates and a new time-compactness criterium. | es |
dc.description.sponsorship | Fonds Franco-Espagnol D.R.E.I.F | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Society for Industrial and Applied Mathematics | es |
dc.relation.ispartof | SIAM Journal on Mathematical Analysis, 33(4), 847-859 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Navier–Stokes equations | es |
dc.subject | shallow domains | es |
dc.subject | geophysical fluid dynamics | es |
dc.subject | hydrostatic approximation | es |
dc.subject | singular perturbation | es |
dc.subject | compactness criterium | es |
dc.subject | asymptotic analysis | es |
dc.title | Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics | 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 | UC 815 | es |
dc.relation.projectID | MAR98-0486 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1137/S0036141000375962 | |
dc.identifier.doi | 10.1137/S0036141000375962 | |
idus.format.extent | 13 p. | es |
dc.journaltitle | SIAM Journal on Mathematical Analysis | es |
dc.publication.volumen | 33 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 847 | es |
dc.publication.endPage | 859 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/41261 | |
dc.contributor.funder | Ministerio de Educación y Ciencia (MEC). España | |