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Artículo
Stability of some turbulent vertical models for the ocean mixing boundary layer
(Elsevier, 2008-02)
We consider four turbulent models to simulate the boundary mixing layer of the ocean. We show the existence of solutions to these models in the steady-state case then we study the mathematical stability of these solutions.
Capítulo de Libro
Well-balanced Finite Volume schemes: some stability and convergence results
(Universidad de Zaragoza, 2003)
We report a stability and convergence analysis for some simplified well-balanced Finite Volume solvers of Hyperbolic Systems of Conservation Laws. These are specific solvers, recently introduced, that balance all steady ...
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 ...
Artículo
Method of Lyapunov Functionals Construction in Stability of Delay Evolution Equations
(2007)
Stability investigation of hereditary systems often is connected with the construction of Lyapunov functionals. The general method of Lyapunov functionals construction, that was proposed by V.Kolmanovskii and L.Shaikhet ...
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
A survey on Navier-Stokes models with delays: Existence, uniqueness and asymptotic behavior of solutions
(2015)
In this survey paper we review several aspects related to Navier-Stokes models when some hereditary characteristics (constant, distributed or variable delay, memory, etc) appear in the formulation. First some results ...
Artículo
Partial Differential Equations with Delayed Random Perturbations: Existence, Uniqueness and Stability of Solutions
(1993)
We consider a stochastic non–linear Partial Differential Equation with delay which may be regarded as a perturbed equation. First, we prove the existence and the uniqueness of solutions. Next, we obtain some stability ...
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 ...
Artículo
Stability of stationary solutions to 2D-Navier-Stokes models with delays
(International Press, 2014)
In this paper we establish some sufficient conditions for the exponential stability of the stationary solution to a two-dimensional Navier-Stokes model with delay in the forcing term. We are able to cover several situation ...