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Artículo
The algebraic size of the family of injective operators
(De Gruyter Open, 2017-01)
In this paper, a criterion for the existence of large linear algebras consisting, except for zero, of one-to-one operators on an infinite dimensional Banach space is provided. As a consequence, it is shown that every ...
Artículo
A survey for the Muskat problem and a new estimate
(Springer, 2017-03)
This paper shows a summary of mathematical results about the Muskat problem. The main concern is well-posed scenarios which include the possible formation of singularities in finite time or existence of solutions for all ...
Artículo
The ε-entropy of some infinite dimensional compact ellipsoids and fractal dimension of attractors
(American Institute of Mathematical Sciences, 2017-09)
We prove an estimation of the Kolmogorov ε-entropy in H of the unitary ball in the space V, where H is a Hilbert space and V is a Sobolev-like subspace of H. Then, by means of Zelik’s result, an estimate of the fractal ...
Artículo
Homogenization of an incompressible non-Newtonian flow through a thin porous medium
(Springer, 2017)
In this paper, we consider a non-Newtonian flow in a thin porous medium Ωε of thickness ε which is perforated by periodically solid cylinders of size aε. The flow is described by the 3D incompressible Stokes system with a ...
Artículo
Derivation of a coupled Darcy-Reynolds equation for a fluid flow in a thin porous medium including a fissure
(Springer, 2017)
We study the asymptotic behavior of a fluid flow in a thin porous medium of thickness ε, which characteristic size of the pores ε, and containing a fissure of width ηε. We consider the limit when the size of the pores ...
Artículo
On the non-stationary non-Newtonian flow through a thin porous medium
(Wiley, 2017)
We consider a non-stationary incompressible non-Newtonian flow in a thin porous medium of thickness ε which is perforated by periodically distributed solid cylinders of size aε. The viscosity is supposed to obey the power ...
Artículo
Derivation of a quasi-stationary coupled Darcy-Reynolds equation for incompressible viscous fluid flow through a thin porous medium with a fissure
(Wiley, 2017)
We consider a non-stationary Stokes system in a thin porous medium of thickness ε which is perforated by periodically distributed solid cylinders of size ε, and containing a fissure of width ηε. Passing to the limit when ...
Artículo
Darcy's laws for non-stationary viscous fluid flow in a thin porous medium
(Wiley, 2017)
We consider a non-stationary Stokes system in a thin porous medium Ωε of thickness ε which is perforated by periodically solid cylinders of size aε. We are interested here to give the limit behavior when ε goes to zero. ...
Artículo
Existence and estimation of the Hausdorff dimension of attractors for an epidemic model
(Wiley, 2017)
We prove the existence of pullback and uniform attractors for the process associated to a non-autonomous SIR model, with several types of non-autonomous features. The Hausdorff dimension of the pullback attractor is also ...