dc.creator | Guillén González, Francisco Manuel | es |
dc.creator | Rodríguez Bellido, María Ángeles | es |
dc.date.accessioned | 2016-04-22T06:30:13Z | |
dc.date.available | 2016-04-22T06:30:13Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Guillén González, F.M. y Rodríguez Bellido, M.Á. (2014). Weak time regularity and uniqueness for a Q-Tensor model. SIAM journal on mathematical analysis, 46 (5), 3540-3567. | es |
dc.identifier.issn | 0036-1410 | es |
dc.identifier.issn | 1095-7154 | es |
dc.identifier.uri | http://hdl.handle.net/11441/40265 | |
dc.description.abstract | The coupled Navier-Stokes and Q-Tensor system is one of the models used to describe the behavior of the nematic liquid crystals. The existence of weak solutions and a uniqueness criteria have been already studied (see [11] Marius Paicu and Arghir Zarnescu. Energy dissipation and regularity for a coupled
Navier-Stokes and Q-tensor system. Arch. Ration. Mech. Anal., 203(1):45–67, 2012) for a Cauchy problem in the whole R3 and [7] F. Guillén-Gonz´alez and M. A. Rodríguez-Bellido. Weak solutions for an initialboundary
Q-tensor problem related to liquid crystals. Submitted, 2014 for a initial-boundary problem in a bounded domain Ω). Nevertheless, results on strong regularity have only been treated in [11] for a Cauchy
problem in the whole R3. In this paper, imposing Dirichlet or Neumann boundary conditions, we show the existence and uniqueness of a local in time weak solution with weak regularity for the time derivative of the velocity and the tensor variables (u, Q). Moreover, we gives a regularity criteria implying that this solution is global in time. Note that the regularity furnished by the weak regularity for (u, Q) and the weak regularity for (∂tu, ∂tQ) is not equivalent to the strong regularity. Finally, when large enough viscosity is imposed, we obtain the existence (and uniqueness) of global in time strong solution. In fact, if non-homogeneous Dirichlet condition for Q is imposed, the strong regularity needs to be obtained together with the weak regularity for (∂tu, ∂tQ). | es |
dc.description.sponsorship | Ministerio de Ciencia e Innovación (España) MTM2009-12927 | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad (España) MTM2012-32325 | 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, 46(5), 3540-3567 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Q-Tensor | es |
dc.subject | Navier-Stokes equations | es |
dc.subject | regularity | es |
dc.subject | uniqueness | es |
dc.title | Weak time regularity and uniqueness for a Q-Tensor model | es |
dc.type | info:eu-repo/semantics/article | es |
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 | MTM2009-12927 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO/MTM2012-32325 | es |
dc.identifier.doi | http://dx.doi.org/10.1137/13095015X | es |
idus.format.extent | 28 p. | es |
dc.journaltitle | SIAM journal on mathematical analysis | es |
dc.publication.volumen | 46 | es |
dc.publication.issue | 5 | es |
dc.publication.initialPage | 3540 | es |
dc.publication.endPage | 3567 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/40265 | |
dc.contributor.funder | Ministerio de Ciencia e Innovación (MICIN). España | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |