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Artículo
Motivation, analysis and control of the variable density Navier-Stokes equations
(AIMS, 2012-12)
Résultats d’unicité pour des problèmes pseudomonotones avec p > 2. Nous considérons un opérateur pseudomonotone du type −div(b(x, u)|∇ u| p−2∇ u), avec 1 <p< +∞ et b(x, s) une fonction Lipschitzienne en s qui vérifie 0 < ...
Artículo
The Oseen and Navier-Stokes equations in a non-solenoidal framework
(Wiley, 2014-12-11)
The very weak solution for the Stokes, Oseen and Navier-Stokes equations has been studied by several authors in the last decades in domains of Rn, n ≥ 2. The authors studied the Oseen and Navier-Stokes problems assuming a ...
Artículo
Analysis of the hydrostatic approximation in oceanography with compression term
(EDP Sciences, 2000)
The hydrostatic approximation of the incompressible 3D stationary Navier-Stokes equations is widely used in oceanography and other applied sciences. It appears through a limit process due to the anisotropy of the domain ...
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
On a double penalized smectic-A model
(American Institute of Mathematical Sciences, 2012-12)
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 ...
Artículo
Attractors for a Double Time-Delayed 2D-Navier-Stokes Model
(American Institute of Mathematical Sciences, 2014)
In this paper, a double time-delayed 2D-Navier-Stokes model is considered. It includes delays in the convective and the forcing terms. Existence and uniqueness results and suitable dynamical systems are established. We ...
Artículo
Weak pullback attractors of setvalued processes
(2003)
Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and ...
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 ...
Artículo
Reproductivity for a nematic liquid crystal model
(2006-11)
In this paper we prove existence of weak solution with the reproductivity in time property, for a penalized PDE's system related to a nematic liquid crystal model. This problem is relatively explicit when time-independent ...
Artículo
Automatic insertion of a turbulence model in the finite element discretization of the Navier-Stokes equations
(World Scientific Publishing, 2009-07)
We consider the finite element discretization of the Navier–Stokes equations locally coupled with the equation for the turbulent kinetic energy through an eddy viscosity. We prove a posteriori error estimates which allow ...