dc.creator | Briane, Marc | es |
dc.creator | Casado Díaz, Juan | es |
dc.date.accessioned | 2016-09-28T09:29:38Z | |
dc.date.available | 2016-09-28T09:29:38Z | |
dc.date.issued | 2012-09 | |
dc.identifier.citation | Briane, M. y Casado Díaz, J. (2012). Homogenization of stiff plates and two-dimensional high-viscosity Stokes equations. Archive for Rational Mechanics and Analysis, 205 (3), 753-794. | |
dc.identifier.issn | 0003-9527 | es |
dc.identifier.issn | 1432-0673 | es |
dc.identifier.uri | http://hdl.handle.net/11441/46225 | |
dc.description.abstract | The paper deals with the homogenization of rigid heterogeneous plates. Assuming that the coefficients are equi-bounded in L1, we prove that the limit of a sequence of plate equations remains a plate equation which involves a strongly local linear operator acting on the second gradients. This compactness result is based on a div-curl lemma for fourthorder equations. On the other hand, using an intermediate stream function we deduce
from the plates case a similar result for high-viscosity Stokes equations in dimension two, so that the nature of the Stokes equation is preserved in the homogenization process. Finally, we show that the L1-boundedness assumption cannot be relaxed. Indeed, in the case of the Stokes equation the concentration of one very rigid strip on a line induces the appearance of second gradient terms in the limit problem, which violates the compactness
result obtained under the L1-boundedness condition. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Springer | es |
dc.relation.ispartof | Archive for Rational Mechanics and Analysis, 205 (3), 753-794. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Homogenization | es |
dc.subject | Plate | es |
dc.subject | Stokes equation | es |
dc.subject | Div-curl lemma | es |
dc.title | Homogenization of stiff plates and two-dimensional high-viscosity Stokes equations | 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 | info:eu-repo/grantAgreement/MINECO/MTM2011-24457 | es |
dc.relation.publisherversion | http://download.springer.com/static/pdf/356/art%253A10.1007%252Fs00205-012-0520-9.pdf?originUrl=http%3A%2F%2Flink.springer.com%2Farticle%2F10.1007%2Fs00205-012-0520-9&token2=exp=1475055790~acl=%2Fstatic%2Fpdf%2F356%2Fart%25253A10.1007%25252Fs00205-012-0520-9.pdf%3ForiginUrl%3Dhttp%253A%252F%252Flink.springer.com%252Farticle%252F10.1007%252Fs00205-012-0520-9*~hmac=a11ab599cbbbf3e0fa4c82b178430a9d180bfedf79668893c05e60db7d8a74ab | es |
dc.identifier.doi | 10.1007/s00205-012-0520-9 | es |
dc.contributor.group | Universidad de Sevilla. FQM309: Control y Homogeneización de Ecuaciones en Derivadas Parciales | es |
idus.format.extent | 36 p. | es |
dc.journaltitle | Archive for Rational Mechanics and Analysis | es |
dc.publication.volumen | 205 | es |
dc.publication.issue | 3 | es |
dc.publication.initialPage | 753 | es |
dc.publication.endPage | 794 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/46225 | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |