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Mostrando ítems 11-20 de 62
Artículo
Weak solutions for an initial-boundary Q-Tensor problem related to liquid crystals
(Elsevier, 2015-01)
The coupled Navier-Stokes and Q-Tensor system is considered in a bounded three-dimensional domain under homogeneous Dirichlet boundary conditions for the velocity u and either nonhomogeneous Dirichlet or homogeneous Neumann ...
Artículo
Approximation of Smectic-A liquid crystals
(Elsevier, 2015-06-15)
In this paper, we present energy-stable numerical schemes for a Smectic-A liquid crystal model. This model involve the hydrodynamic velocity-pressure macroscopic variables (u, p) and the microscopic order parameter of ...
Artículo
A chemorepulsion model with superlinear production: analysis of the continuous problem and two approximately positive and energy-stable schemes
(Springer, 2021-12-10)
We consider the following repulsive-productive chemotaxis model: find 0, the cell density, and 0, the chemical concentration, satisfying 0 in 0 in 0 (1) with 1 2 , a bounded domain ( 1 2 3), endowed with non-flux boundary ...
Artículo
Long-time behavior of global weak solutions for a beris-edwards type model of nematic liquid crystals
(Springer, 2022-10-06)
We consider a Beris-Edwards system modeling incompressible liquid crystal flows of nematic type. This system couples a Navier–Stokes system for the fluid velocity with a time-dependent system for the Q-tensor variable, ...
Artículo
A review on mathematical analysis for nematic and smectic-A liquid crystal models
(Cambridge University Press, 2014-02)
We review the mathematical analysis of some uniaxial, liquid crystal phases. First, we state the models for the two di fferent studied phases: nematic and smectic-A liquid crystals. The spatial and temporal pro les of the ...
Artículo
Sobre la regularidad, unicidad y justificación asintótica del problema de Ecuaciones Primitivas del Océano
(Sociedad Española de Matemática Aplicada, 2002)
En este trabajo exponemos, y comentamos brevemente, los resultados obtenidos en la Tesis Doctoral de M. A. Rodríguez Bellido, dirigida por F. Guillén González, [15], sobre existencia, unicidad, regularidad y comportamiento ...
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
Reproductive solution for grade-two fluid model in two dimensions
(Universidad Industrial de Santander, 2009)
We treat the existence of reproductive solution (weak periodic solution) of a second-grade fluid system in two dimensions, by using the Galerkin approximation method and compactness arguments.
Artículo
Convergence and error estimates of two iterative methods for the strong solution of the incompressible korteweg model
(World Scientific, 2009-09)
We show the existence of strong solutions for a fluid model with Korteweg tensor, which is obtained as limit of two iterative linear schemes. The different unknowns are sequentially decoupled in the first scheme and in ...
Artículo
Linear unconditional energy-stable splitting schemes for a phase-field model for nematic-isotropic flows with anchoring effects: L.U.E.S.S. SCHEMES FOR ISOTROPIC-NEMATIC FLOWS WITH ANCHORING EFFECTS
(Wiley, 2016-01-26)
Two-phase flows composed of fluids exhibiting different microscopic structure are an important class of engineering materials. The dynamics of these flows are determined by the coupling among three different length scales: ...