Repositorio de producción científica de la Universidad de Sevilla

On a double penalized smectic-A model

 

Advanced Search
 
Opened Access On a double penalized smectic-A model
Cites

Show item statistics
Icon
Export to
Author: Climent Ezquerra, María Blanca
Guillén González, Francisco Manuel
Department: Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico
Date: 2012-12
Published in: Discrete and Continuous Dynamical Systems - Series A, 32(12), 4171-4182
Document type: Article
Abstract: 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 Theory of Smectic-A Liquid Crystals, Arch. Rat. Mech. Anal., 137, 2 (2010), 1473-1493, the Ginzburg-Landau penalization related to the constraint |n| = 1 is considered and, assuming the constraint ∇ × n = 0, n is replaced by the so-called layer variable ϕ such that n = ∇ϕ. In this paper, a double penalized problem is introduced related to a smectic-A liquid crystal flows, considering a Cahn-Hilliard system to model the behavior of n. Then, the issue of the global in time behavior of solutions is attacked, including the proof of the convergence of the whole trajectory towards a unique equilibrium state.
Cite: Climent Ezquerra, M.B. y Guillén González, F.M. (2012). On a double penalized smectic-A model. Discrete and Continuous Dynamical Systems - Series A, 32 (12), 4171-4182.
Size: 274.7Kb
Format: PDF

URI: http://hdl.handle.net/11441/40252

DOI: http://dx.doi.org/10.3934/dcds.2012.32.4171

This work is under a Creative Commons License: 
Attribution-NonCommercial-NoDerivatives 4.0 Internacional

This item appears in the following Collection(s)