Artículo
Reproductivity for a nematic liquid crystal model
Autor/es | Climent Ezquerra, María Blanca
Guillén González, Francisco Manuel Rojas Medar, Marko Antonio |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2006-11 |
Fecha de depósito | 2015-10-19 |
Publicado en |
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Resumen | In this paper we prove existence of weak solution with the reproductivity
in time property, for a penalized PDE's system related to a nematic liquid
crystal model.
This problem is relatively explicit when time-independent ... In this paper we prove existence of weak solution with the reproductivity in time property, for a penalized PDE's system related to a nematic liquid crystal model. This problem is relatively explicit when time-independent Dirichlet bound- ary conditions are imposed for the orientation of crystal molecules. Neverthe- less, for the time-dependent case, the treatment of the problem is completely di erent. The veri cation of a maximum principle for weak reproductive so- lutions is fundamental in the argument. Finally, the relation between reproductive and periodic in time (regular) solutions will be pointed out, di erenting the 2D and 3D cases. Basically, in two-dimensional domains every reproductive solution is regular and time periodic, whereas the problem remains open for three-dimensional domains. |
Cita | Climent Ezquerra, M.B., Guillén González, F.M. y Rojas Medar, M.A. (2006). Reproductivity for a nematic liquid crystal model. |
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