Artículo
Weak solutions for an initial-boundary Q-Tensor problem related to liquid crystals
Autor/es | Guillén González, Francisco Manuel
Rodríguez Bellido, María Ángeles |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2015-01 |
Fecha de depósito | 2016-04-22 |
Publicado en |
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Resumen | 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 ... 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. |
Agencias financiadoras | Ministerio de Economía y Competitividad (MINECO). España |
Identificador del proyecto | info:eu-repo/grantAgreement/MINECO/MTM2012-32325 |
Cita | 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. |
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