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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
Recent developments in dynamical systems: three perspectives
(2010)
This paper aims to an present account of some problems considered in the past years in Dynamical Systems, new research directions and also provide some open problems.
Artículo
Pullback attractor for a non-linear evolution equation in elasticity
(2014)
We prove the existence of a pullback attractor for a non{autonomous fourth order evolution equation arising in the fi eld of phase transitions and elasticity theory. The existence of several families of bounded absorbing ...
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
Global attractor for a nonlocal p-Laplacian equation without uniqueness of solution
(American Institute of Mathematical Sciences, 2017-07)
In this paper, the existence of solution for a p-Laplacian parabolic equation with nonlocal diffusion is established. To do this, we make use of a change of variable which transforms the original problem into a nonlocal ...
Artículo
Stability results for 2D Navier-Stokes equations with unbounded delay
(Elsevier, 2018-12-05)
Some results related to 2D Navier-Stokes equations when the external force contains hereditary characteristics involving unbounded delays are analyzed. First, the existence and uniqueness of solutions is proved by Galerkin ...
Artículo
Almost periodic and almost automorphic solutions of linear differential equations
(2010)
We analyze the existence of almost periodic (respectively, almost automorphic, recurrent) solutions of a linear non-homogeneous di erential (or di erence) equation in a Banach space, with almost periodic (respectively, ...
Artículo
Random attractors for stochastic 2D-Navier-Stokes equations in some unbounded domains
(2013)
We show that the stochastic flow generated by the 2-dimensional Stochastic Navier-Stokes equations with rough noise on a Poincar´e-like domain has a unique random attractor. One of the technical problems associated with ...
Artículo
Existence and stability results for semilinear systems of impulsive stochastic differential equations with fractional Brownian motion
(Taylor & Francis, 2016)
Some results on the existence and uniqueness of mild solution for a system of semilinear impulsive differential equations with infinite fractional Brownian motions are proved. The approach is based on Perov’s fixed point ...
Artículo
Nonautonomous chemostats with variable delays
(Society for Industrial and Applied Mathematics, 2015)
The appearance of delay terms in a chemostat model can be fully justified since the future behavior of a dynamical system does not in general depend only on the present but also on its history. Sometimes only a short piece ...