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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
Analysis of a stochastic 2D–Navier-Stokes model with infinite delay
(Springer, 2019-12)
Some results concerning a stochastic 2D Navier-Stokes system when the external forces contain hereditary characteristics are established. The existence and uniqueness of solutions in the case of unbounded (infinite) delay ...
Artículo
Numerical comparisons of finite element stabilized methods for a 2D vortex dynamics simulation at high Reynolds number
(Elsevier, 2019-02-10)
In this paper, we consider up-to-date and classical Finite Element (FE) stabilized methods for timedependent incompressible flows. All studied methods belong to the Variational MultiScale (VMS) framework. So, different ...
Artículo
Unconditionally energy stable fully discrete schemes for a chemo-repulsion model
(American Mathematical Society, 2019-09)
This work is devoted to studying unconditionally energy stable and mass-conservative numerical schemes for the following repulsive-productive chemotaxis model: find u ≥ 0, the cell density, and v ≥ 0, the chemical ...
Artículo
Convergence to equilibrium of global weak solutions for a Cahn-Hilliard-Navier-Stokes vesicle model
(Springer, 2019-08)
In this paper, we introduce a model describing the dynamic of vesicle membranes within an incompressible viscous fluid in 3D domains. The system consists of the NavierStokes equations, with an extra stress tensor depending ...
Artículo
Newtonian fluid flow in a thin porous medium with non-homogeneous slip boundary conditions
(American Institute of Mathematical Sciences, 2019-06)
We consider the Stokes system in a thin porous medium Ωε of thickness ε which is perforated by periodically distributed solid cylinders of size ε. On the boundary of the cylinders we prescribe non-homogeneous slip boundary ...
Artículo
Hyers-Ulam stability for coupled random fixed point theorems and applications to periodic boundary value random problems
(De Gruyter, 2019-09)
In this paper, we prove some existence, uniqueness and Hyers-Ulam stability results for the coupled random fixed point of a pair of contractive type random operators on separable complete metric spaces. The approach is ...
Artículo
On existence of optimal potentials on unbounded domains
(Cornell University, 2019-09-13)
We consider elliptic equations of Schrödinger type with a right-hand side fixed and with the linear part of order zero given by a potential V . The main goal is to study the optimization problem for an integral cost depending ...
Artículo
Bifurcation scenarios in an ordinary differential equation with constant and distributed delay: A case study
(American Institute of Mathematical, 2019-06)
In this article we consider a model introduced by Ucar in order to simply describe chaotic behaviour with a one dimensional ODE containing a constant delay. We study the bifurcation problem of the equilibria and we obtain ...
Artículo
Dynamic safety assessment of a nonlinear pumped-storage generating system in a transient process
(Elsevier, 2019-02)
This paper focuses on a pumped-storage generating system with a reversible Francis turbine and presents an innovative framework for safety assessment in an attempt to overcome their limitations. Thus the aim is to analyze ...