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Mostrando ítems 1-10 de 12
Artículo
Uniform boundedness of the attractor in H2 of a non-autonomous epidemiological system
(Springer, 2018-12)
In this paper, we prove the uniform boundedness of the pullback attractor of a non-autonomous SIR (susceptible, infected, recovered) model from epidemiology considered in Anguiano and Kloeden [M. Anguiano, P.E. Kloeden, ...
Artículo
Nonlinear Reynolds equations for non-Newtonian thin-film fluid flows over a rough boundary
(Oxford University Press, 2019)
We consider a non-Newtonian fluid flow in a thin domain with thickness ηε and an oscillating top boundary of period ε. The flow is described by the 3D incompressible Navier-Stokes system with a nonlinear viscosity, being ...
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
On the Kneser property for reaction-diffusion equations in some unbounded domains with an H^{-1}-valued non-autonomous forcing term
(Elsevier, 2012)
In this paper we prove the Kneser property for a reaction-diffusion equation on an unbounded domain satisfying the Poincaré inequality with an external force taking values in the space H^{−1}. Using this property of solutions ...
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
Analysis of the effects of a fissure for a non-Newtonian fluid flow in a porous medium
(International Press, 2018)
We study the solution of a non-Newtonian flow in a porous medium which characteristic size of the pores ε and containing a fissure of width ηε. The flow is described by the incompressible Stokes system with a nonlinear ...
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
The Transition Between the Navier–Stokes Equations to the Darcy Equation in a Thin Porous Medium
(Springer, 2018)
We consider a Newtonian flow in a thin porous medium Ωε of thickness ε which is perforated by periodically distributed solid cylinders of size aε. Generalizing [2], the fluid is described by the 3D incompressible Navier-Stokes ...
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 ...