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Mostrando ítems 11-20 de 25
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: ...
Artículo
On the stability of approximations for the Stokes problem using different finite element spaces for each component of the velocity
(Elsevier, 2016-01)
This paper studies the stability of velocity-pressure mixed approximations of the Stokes problem when different finite element (FE) spaces for each component of the velocity field are considered. We consider some new ...
Artículo
A projection-based time-splitting algorithm for approximating nematic liquid crystal flows with stretching
(Wiley, 2017)
A numerical method is developed for solving a system of partial differential equations modeling the flow of a nematic liquid crystal fluid with stretching effect, which takes into account the geometrical shape of its ...
Artículo
A time-splitting finite-element stable approximation for the Ericksen-Leslie equations
(Society for Industrial and Applied Mathematics, 2015)
In this paper we propose an unconditional energy-stable time-splitting finite-element scheme for approximating the Ericksen–Leslie equations governing the flow of nematic liquid crystals. These equations are to be solved ...
Artículo
A uniqueness and regularity criterion for Q-tensor models with Neumann boundary conditions
(Ohio University Press, 2014-11)
We give a regularity criterion for a Q-tensor system modeling a nematic Liquid Crystal, under homogeneous Neumann boundary conditions for the tensor Q. Starting of a criterion only imposed on the velocity field u two results ...
Artículo
Weak time regularity and uniqueness for a Q-Tensor model
(Society for Industrial and Applied Mathematics, 2014)
The coupled Navier-Stokes and Q-Tensor system is one of the models used to describe the behavior of the nematic liquid crystals. The existence of weak solutions and a uniqueness criteria have been already studied (see [11] ...
Artículo
Analysis of the hydrostatic Stokes problem and finite-element approximation in unstructured meshes
(Springer, 2015-06)
The stability of velocity and pressure mixed finite-element approximations in general meshes of the hydrostatic Stokes problem is studied, where two “inf-sup” conditions appear associated to the two constraints of the ...
Artículo
Finite element approximation of nematic liquid crystal flows using a saddle-point structure
(Elsevier, 2011-02-20)
In this work, we propose finite element schemes for the numerical approximation of nematic liquid crystal flows, based on a saddle-point formulation of the director vector sub-problem. It introduces a Lagrange multiplier ...
Artículo
Convergence to equilibrium of global weak solutions for a Q-tensor problem related to liquid crystals
(Cornell University, 2018-05-07)
We study a Q-tensor problem modeling the dynamic of nematic liquid crystals in 3D domains. The system consists of the Navier-Stokes equations, with an extra stress tensor depending on the elastic forces of the liquid ...
Artículo
Analysis of a chemo-repulsion model with nonlinear production: The continuous problem and unconditionally energy stable fully discrete schemes
(Cornell University, 2018-08-21)
We consider the following repulsive-productive chemotaxis model: Let p∈(1,2), find u≥0, the cell density, and v≥0, the chemical concentration, satisfying in a bounded domain Ω⊆Rd, d=2,3. By using a regularization technique, ...