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Artículo
On p-Laplacian reaction–diffusion problems with dynamical boundary conditions in perforated media
(Springer, 2023-01-19)
We study the effect of the p-Laplacian operator in the modelling of the heat equation through a porous medium ( ). The case of was recently published in Anguiano (Mediterr J Math 17:18, https://doi.org/10.1007/s00 ...
Tesis Doctoral
Free boundary and turbulence for incompressible viscous fluids
(2023-06-29)
The mathematical bases of the dynamics of viscous fluids are given by the classical Navier- Stokes equations, which model the motion of a viscous incompressible fluid. We can consider a wide variety of scenarios involving ...
Artículo
Undominated Sequences of Integrable Functions
(Springer Nature, 2020-10-20)
In this paper, we investigate to what extent the conclusion of the Lebesgue dominated convergence theorem holds if the assumption of dominance is dropped. Speci cally, we study both topological and algebraic genericity ...
Tesis Doctoral
Linear and algebraic structures in function sequence spaces
(2020-06-18)
Historically, many mathematicians of all ages have been attracted and fascinated by the existence of large algebraic structures that satisfy certain properties that, a priori, contradict the mathematical intuition. The ...
Artículo
Surface tension stabilization of the Rayleigh-Taylor instability for a fluid layer in a porous medium
(ScienceDirect, 2020-12-02)
This paper studies the dynamics of an incompressible fluid driven by gravity and capillarity forces in a porous medium. The main interest is the stabilization of the fluid in Rayleigh-Taylor unstable situations where the ...
Artículo
Compactification, and beyond, of composition operators on Hardy spaces by weights
(OJS/PKP, 2021-06-08)
We study when multiplication by a weight can turn a non-compact composition operator on H2 into a compact operator, and when it can be in Schatten classes. The q-summing case in Hp is considered. We also study when this ...
Artículo
Comparison of singular numbers of composition operators on different Hilbert spaces of analytic functions
(Elsevier, 2021)
We compare the rate of decay of singular numbers of a given composition operator acting on various Hilbert spaces of analytic functions on the unit disk D. We show that for the Hardy and Bergman spaces, our results are ...
Artículo
Error Analysis of Proper Orthogonal Decomposition Stabilized Methods for Incompressible Flows
(Society for Industrial and Applied Mathematics, 2020-06-02)
Proper orthogonal decomposition (POD) stabilized methods for the Navier--Stokesequations are considered and analyzed. We consider two cases: the case in which the snapshots arebased on a non inf-sup stable method and the ...
Artículo
Sharp Pressure Estimates for the Navier–Stokes System in Thin Porous Media
(Springer, 2023-04-16)
A relevant problem for applications is to model the behavior of Newtonian fluids through thin porous media, which is a domain with small thickness and perforated by periodically distributed cylinders of size and period ...
Artículo
Extended eigenvalues of composition operators
(Elsevier, 2021-12-15)
A complex scalar λ is said to be an extended eigenvalue of a bounded linear operator A on a complex Hilbert space if there is a nonzero operator X such that AX=λXA. The results in this paper provide a full solution to the ...