dc.creator | Guillén González, Francisco Manuel | es |
dc.creator | Rodríguez Bellido, María Ángeles | es |
dc.date.accessioned | 2016-04-22T06:48:15Z | |
dc.date.available | 2016-04-22T06:48:15Z | |
dc.date.issued | 2015-01 | |
dc.identifier.citation | Guillén González, F.M. y Rodríguez Bellido, M.Á. (2015). Weak solutions for an initial-boundary Q-Tensor problem related to liquid crystals. Nonlinear Analysis: Theory, 112, 84-104. | es |
dc.identifier.issn | 0362-546X | es |
dc.identifier.uri | http://hdl.handle.net/11441/40268 | |
dc.description.abstract | The coupled Navier-Stokes and Q-Tensor system is considered in a bounded three-dimensional domain under homogeneous Dirichlet boundary conditions for the velocity u and either nonhomogeneous Dirichlet or homogeneous Neumann boundary conditions for the tensor Q. The corresponding initial-value problem in the whole space R3 was analyzed in [Paicu & Zarnescu, 2012]. In this paper, three main results concerning weak solutions will be proved; the existence of global in time weak solutions (bounded up to infinite time), a uniqueness criteria and a maximum principle for Q. Moreover, we identify how to modify the system to deduce symmetry and traceless for Q, for any weak solution. The presence of a stretching term in the Q-system plays a crucial role in all the analysis. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Nonlinear Analysis: Theory, Methods & Applications, 112, 84-104 | 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 | weak solution | es |
dc.subject | uniqueness | es |
dc.subject | maximum principle | es |
dc.subject | symmetry | es |
dc.subject | traceless | es |
dc.title | Weak solutions for an initial-boundary Q-Tensor problem related to liquid crystals | 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/MTM2012-32325 | es |
dc.identifier.doi | http://dx.doi.org/10.1016/j.na.2014.09.011 | es |
idus.format.extent | 21 p. | es |
dc.journaltitle | Nonlinear Analysis: Theory | es |
dc.publication.volumen | 112 | es |
dc.publication.initialPage | 84 | es |
dc.publication.endPage | 104 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/40268 | |
dc.contributor.funder | Ministerio de Economía y Competitividad (MINECO). España | |