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Artículo
A characterization result for the existence of a two-phase material minimizing the first eigenvalue
(Elsevier, 2016-09-19)
Given two isotropic homogeneous materials represented by two constants 0 <α< | |, we consider here the problem consisting in finding a mixture of these materials αχω + β(1 − χω), ω ⊂ RN measurable, with |ω| ≤ κ, such that ...
Artículo
Bifurcation from zero of a complete trajectory for non-autonomous logistic PDEs
(World Scientific Publishing, 2005-08)
In this paper we extend the well-known bifurcation theory for autonomous logistic equations to the non-autonomous equation ut − ∆u = λu − b(t)u 2 with b(t) ∈ [b0, B0], 0 < b0 < B0 < 2b0. In particular, we prove the ...
Artículo
Random and stochastic disturbances on the input flow in chemostat models with wall growth
(Taylor and Francis, 2019-05-03)
In this paper, we analyze a chemostat model with wall growth where the input flow is perturbed by two different stochastic processes: the well-known standard Wiener process, which leads into several draw- backs from the ...
Artículo
Semilinear problems with right-hand sides singular at u = 0 which change sign
(Elsevier, 2021-06-01)
The present paper is devoted to the study of the existence of a solution u for a quasilinear second order differential equation with homogeneous Dirichlet conditions, where the right-hand side tends to infinity at u = 0u=0. ...
Artículo
The Lotka-Volterra models with non-local reaction terms
(American Institute of Mathematical Sciences (AIMS), 2022-11)
In this paper we consider a diffusive Lotka-Volterra system including nonlocal terms in the reaction functions. We analyze the main types of interactions between species: competition, predator-prey and cooperation. We ...
Artículo
Existence and uniqueness of solutions for delay stochastic evolution equations of second order in time
(World Scientific Publishing, 2003-06)
We prove some results on the existence and uniqueness of solutions for a class of evolution equations of second order in time, containing some hereditary characteristics. Our theory is developed from a variational point ...
Artículo
Type IV pili interactions promote intercellular association and moderate swarming of Pseudomonas aeruginosa
(National Academy of Sciences, 2014-12-16)
Pseudomonas aeruginosa is a ubiquitous bacterium that survives in many environments, including as an acute and chronic pathogen in humans. Substantial evidence shows that P. aeruginosa behavior is affected by its motility, ...
Artículo
Error analysis of a subgrid eddy viscosity multi-scale discretization of the Navier-Stokes equations
(Sociedad Española de Matemática Aplicada, 2012-08-14)
We propose a finite element discretization of the Navier–Stokes equations that relies on the variational multi-scale approach together with the addition of a Smagorinsky type viscosity, in order to take into account ...
Artículo
Exponential stability of an incompressible non-Newtonian fluid with delay
(American Institute of Mathematical Sciences, 2018-12)
The existence and uniqueness of stationary solutions to an incompressible non-Newtonian fluid are first established. The exponential stability of steady-state solutions is then analyzed by means of four different approaches. ...
Artículo
Homogenization of general quasi-linear Dirichlet problems with quadratic growth in perforated domains
(Elsevier, 1997-05)
In this paper, we study the homogenization of a Dirichlet problem in perforated domains for an operator which is the perturbation of the Laplace operator by a general nonlinear term with quadratic growth in the gradient. ...