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Artículo
Stochastic 3D Globally Modified Navier-Stokes Equations: Weak Attractors, Invariant Measures and Large Deviations
(Springer, 2023-07-25)
This paper is mainly concerned with the asymptotic dynamics of nonautonomous stochastic 3D globally modified Navier-Stokes equations driven by nonlinear noise. Based on the well-posedness of such equations, we first show ...
Artículo
Asymptotic Behaviour of 2D-Navier-Stokes Equations with Delays
(2003)
Some results on the asymptotic behaviour of solutions to Navier-Stokes equations when the external force contains some hereditary characteristics are proved. We show two different approaches to prove the convergence of ...
Artículo
Bounded random fluctuations on the input flow in chemostat models with wall growth and non-monotonic kinetics
(AIMS Press, 2021-02-04)
This paper investigates a chemostat model with wall growth and Haldane consumption kinetics. In addition, bounded random fluctuations on the input flow, which are modeled by means of the well-known Ornstein-Uhlenbeck ...
Artículo
On Exponential Stability Criteria of Stochastic Partial Differential Equations
(1999)
Some criteria for the mean square and almost sure exponential stability of nonlinear stochastic partial differential equations are shown in this paper. In particular, the main results obtained in Caraballo and Real (1994) ...
Artículo
Non-Autonomous Attractor for Integro-Differential Evolution Equations
(2009)
We show that infinite-dimensional integro-differential equations which involve an integral of the solution over the time interval since starting can be formulated as non-autonomous delay differential equations with an ...
Artículo
Dynamics and numerical simulations to predict empirical antibiotic treatment of multi-resistant Pseudomonas aeruginosa infection
(Elsevier, 2020-12)
This work discloses an epidemiological mathematical model to predict an empirical treatment for dogs infected by Pseudomonas aeruginosa. This dangerous pathogen is one of the leading causes of multi-resistant infections ...
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 ...
Artículo
A gradient-like non autonomous evolution process
(2009)
In this paper we consider a dissipative damped wave equation with non-autonomous damping of the form utt + ¯(t)ut = ¢u + f(u) (1) in a bounded smooth domain ½ Rn with Dirichlet boundary conditions, where f is a ...
Artículo
Smoothing effect and asymptotic dynamics of nonautonomous parabolic equations with time-dependent linear operators
(Elsevier, 2022-01-24)
In this paper we consider the nonautonomous semilinear parabolic problems with time-dependent linear operators ut + A(t)u = f (t, u), t > τ ; u(τ ) = u0, in a Banach space X. Under suitable conditions, we obtain regularity ...
Artículo
Pullback, forward and chaotic dynamics in 1-D non-autonomous linear-dissipative equations
(IOP Publishing, 2017-01)
The global attractor of a skew product semiflow for a non-autonomous differential equation describes the asymptotic behaviour of the model. This attractor is usually characterized as the union, for all the parameters in ...