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Article
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 ...
Article
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 ...
Article
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 ...
Article
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. ...
Article
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 ...
Article
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 ...
PhD Thesis
Análisis y Simulaciones Numéricas en Mecánica de Fluidos y Campos de Fase Numerical Analysis and Simulations for Fluid Mechanics and Phase-field Models
(2012)
Applied Mathematics research is expanding to encompass quantitative physical phenomena of growing importance. These quantitative phenomena include many interesting applica- tions, such as, biomathematics and industrial ...
Article
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, ...
Article
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 ...
Article
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. ...