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Mostrando ítems 11-20 de 27
Artículo
Weak-renormalized solutions for a system that models non-isothermal solidification
(Sociedad Española de Matemática Aplicada, 2012-07)
The aim of this paper is to prove the existence of weak-renormalized solutions to a system of the Navier-Stokes-Boussinesq kind. This system may be regarded as a modified version of the non-isothermal solidification problem ...
Artículo
An Estimate On the Fractal Dimension of Attractors of Gradient-Like Dynamical Systems
(2012)
This paper is dedicated to estimate the fractal dimension of exponential global attractors of some generalized gradient-like semigroups in a general Banach space in terms of the maximum of the dimension of the local ...
Artículo
Combining local and non-local terms in a nonlinear elliptic problem
(Wiley, 2012-03-30)
In this paper we study the existence, uniqueness, multiplicity and stability of positive solution of a non-linear elliptic problem that combines local and non-local terms taking the form of an integral in space. The proofs ...
Artículo
On the control of some coupled systems of the Boussinesq kind with few controls
(AIMS, 2012-06-01)
This paper is devoted to prove the local exact controllability to the trajectories for a coupled system, of the Boussinesq kind, with a reduced number of controls. In the state system, the unknowns are the velocity field ...
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
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
Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour
(Elsevier, 2012)
In this paper the asymptotic behaviour of the solutions to a non-autonomous 2D-Navier–Stokes model is analyzed when the initial datum belongs to V, for two frameworks: the universe of fixed bounded sets, and also for another ...
Artículo
Anti-angiogenic therapy based on the binding receptors
(American Institute of Mathematical Sciences, 2012-11)
This paper deals with a nonlinear system of partial differential equations modeling the effect of an anti-angiogenic therapy based on an agent that binds specific receptors of the endothelial cells. We study the time-dependent ...
Artículo
A posteriori analysis of a positive streamwise invariant discretization of a convection-diffusion equation
(Springer, 2012-05)
We consider the finite element discretization of a convection-diffusion equation, where the convection term is handled via a fluctuation splitting algorithm. We prove a posteriori error estimates which allow us to perform ...
Artículo
Numerical null controllability of semi-linear 1-D heat equations: fixed point, least squares and Newton methods
(American Institute of Mathematical Sciences, 2012-09)
This paper deals with the numerical computation of distributed null controls for semilinear 1D heat equations, in the sublinear and slightly superlinear cases. Under sharp growth assumptions, the existence of controls has ...