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Artículo
Conditional stability and convergence of a fully discrete scheme for three-dimensional Navier–Stokes equations with mass diffusion
(Society for Industrial and Applied Mathematics, 2008)
We construct a fully discrete numerical scheme for three-dimensional incompressible fluids with mass diffusion (in density-velocity-pressure formulation), also called the Kazhikhov–Smagulov model. We will prove conditional ...
Ponencia
Reproductive and time periodic solutions for incompressible fluids
(2007-09)
In this article, our aims is to review some of the results that are currently available concerning the existence, uniqueness and regularity of reproductive and time periodic solutions of the Navier-Stokes equations and ...
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
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
Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics
(Society for Industrial and Applied Mathematics, 2001)
Geophysical fluids all exhibit a common feature: their aspect ratio (depth to horizontal width) is very small. This leads to an asymptotic model widely used in meteorology, oceanography, and limnology, namely the hydrostatic ...
Artículo
Stability and convergence of two discrete schemes for a degenerate solutal non-isothermal phase-field model
(EDP Sciences, 2009)
We analyze two numerical schemes of Euler type in time and C0 finite-element type with P1-approximation in space for solving a phase-field model of a binary alloy with thermal properties. This model is written as a highly ...
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
A linear mixed finite element scheme for a nematic Ericksen-Leslie liquid crystal model
(Centre National de la Recherche Scientifique, 2013-09)
In this work we study a fully discrete mixed scheme, based on continuous finite elements in space and a linear semi-implicit first-order integration in time, approximating an Ericksen–Leslie nematic liquid crystal model ...