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Artículo
Global in time solution and time-periodicity for a smectic-A liquid crystal model
(American Institute of Mathematical Sciences, 2010)
In this paper some results are obtained for a smectic-A liquid crystal model with time-dependent boundary Dirichlet data for the so-called layer variable φ (the level sets of φ describe the layer structure of the smectic-A ...
Artículo
On the very weak solution for the Oseen and Navier-Stokes equations
(American Institute of Mathematical Sciences, 2010-06)
We study the existence of very weak solutions regularity for the Stokes, Oseen and NavierStokes system when non-smooth Dirichlet boundary data for the velocity are considered in domains of class C1,1. In the Navier-Stokes ...
Artículo
Regularity and time-periodicity for a nematic liquid crystal model
(Elsevier, 2009-07)
In this paper two main results are obtained for a nematic liquid crystal model with timedependent boundary Dirichlet data for the orientation of the crystal molecules. First, the initial-boundary problem is considered, ...
Artículo
On a double penalized smectic-A model
(American Institute of Mathematical Sciences, 2012-12)
In smectic-A liquid crystals a unity director vector n appear, modeling an average preferential direction of the molecules and also the normal vector of the layer configuration. In the E’s model [5] W. E. Nonlinear Continuum ...