Análisis Matemático
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PhD Thesis
Evolution of Navier-Stokes and Euler vortex filaments
(2024-07-02)Understanding the Euler and Navier-Stokes equations is essential for the mathematical development of fluid mechanics, as ...
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Article
Approximate fixed points in metric spaces
(2024-06-15)The chances for a mapping taken at random from a given set of mappings to have approximate fixed points are studied in ...
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Article
Qué tienen de especiales las funciones especiales
(Real Academia Sevillana de Ciencias, 2022) -
Article
Homogenization of a non-stationary non-Newtonian flow in a porous medium containing a thin fissure
(Cambridge University Press, 2018-02-05)We consider a non-stationary incompressible non-Newtonian Stokes system in a porous medium with characteristic size of the ...
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Article
Asymptotic behaviour of the nonautonomous SIR equations with diffusion
(American Institute of Mathematical Sciences (AIMS), 2014)The existence and uniqueness of positive solutions of a nonautonomous system of SIR equations with diffusion are established ...
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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 ...
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Attractors for a non-autonomous Liénard equation
(World Scientific Publishing, 2015)In this paper we prove the existence of pullback and uniform attractors for a non-autonomous Liénard equation. The relation ...
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Asymptotic behaviour of nonlocal reaction-diffusion equations
(Elsevier, 2010)The existence of a global attractor in L^2(Ω) is established for a reaction-diffusion equation on a bounded domain Ω in ...
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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 ...
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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 ...
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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 ...
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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 ...
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Article
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 ...
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Article
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 ...
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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 ...
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Article
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 ...
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Article
Pullback attractors for a reaction-diffusion equation in a general nonempty open subset of R^N with non-autonomous forcing term in H^{−1}
(World Scientific Publishing, 2015)The existence of minimal pullback attractors in L^2(Ω) for a non-autonomous reaction-diffusion equation, in the frameworks ...
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Article
H^2-boundedness of the pullback attractor for the non-autonomous SIR equations with diffusion
(Elsevier, 2015)We prove some regularity results for the pullback attractor of a non- autonomous SIR model with diffusion in a bounded ...
- PhD Thesis
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Chapter of Book
Doblando voy, doblando vengo
(Publicaciones de la Universidad de Alicante, 2024-02-07)