2016-04-222016-04-222015-01Guillén 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, 84-104.0362-546Xhttp://hdl.handle.net/11441/40268The 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.application/pdfengAttribution-NonCommercial-NoDerivatives 4.0 Internacionalhttp://creativecommons.org/licenses/by-nc-nd/4.0/Navier-Stokes equationsweak solutionuniquenessmaximum principlesymmetrytracelessinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccesshttp://dx.doi.org/10.1016/j.na.2014.09.011https://idus.us.es/xmlui/handle/11441/40268