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Type: Artigo de periódico
Title: Reproductivity for a nematic liquid crystal model
Author: Climent-Ezquerra, B
Guillen-Gonzalez, F
Rojas-Medar, M
Abstract: 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 explict when time-independent Dirichlet boundary conditions are imposed for the orientation of crystal molecules. Nevertheless, for the time-dependent case, the treatment of the problem is completely different. The verification of a maximum principle for weak reproductive solutions is fundamental in the argument. Finally, the relation between reproductive and periodic in time (regular) solutions will be pointed out, differenting 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.
Subject: time reproductive solutions
Navier-Stokes equations
liquid crystal model
coupled non-linear system
Galerkin method
Country: Suíça
Editor: Birkhauser Verlag Ag
Citation: Zeitschrift Fur Angewandte Mathematik Und Physik. Birkhauser Verlag Ag, v. 57, n. 6, n. 984, n. 998, 2006.
Rights: fechado
Identifier DOI: 10.1007/s00033-005-0038-1
Date Issue: 2006
Appears in Collections:Unicamp - Artigos e Outros Documentos

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