A uniqueness and regularity criterion for Q-tensor models with Neumann boundary conditions
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 re...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/40264 |
| Acceso en línea: | http://hdl.handle.net/11441/40264 |
| Access Level: | acceso abierto |
| Palabra clave: | Nematic liquid crystal Q-tensor model regularity criteria uniqueness criteria Neumann boundary conditions |
| Sumario: | 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. |
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