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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, ...
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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 ...
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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 ...
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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 ...
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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
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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 ...
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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 ...
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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 ...
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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
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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 ...