Artículo
A uniqueness and regularity criterion for Q-tensor models with Neumann boundary conditions
Autor/es | Guillén González, Francisco Manuel
Rodríguez Bellido, María Ángeles |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2014-11 |
Fecha de depósito | 2016-04-22 |
Publicado en |
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Resumen | We give a regularity criterion for a Q-tensor system modeling a nematic Liquid Crystal, under homogeneous Neumann boundary conditions for the tensor Q. Starting of a criterion only imposed on the velocity field u two results ... We give a regularity criterion for a Q-tensor system modeling a nematic Liquid Crystal, under homogeneous Neumann boundary conditions for the tensor Q. Starting of a criterion only imposed on the velocity field u two results are proved; the uniqueness of weak solutions and the global in time weak regularity for the time derivative (∂tu, ∂tQ). This paper extends the work done in [8] for a nematic Liquid Crystal model formulated in (u, d), where d denotes the orientation vector of the liquid crystal molecules. |
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. (2014). A uniqueness and regularity criterion for Q-tensor models with Neumann boundary conditions. Differential and integral equations, 28 (5-6), 537-552. |
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