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Artículo
Chemostats with time-dependent inputs and wall growth
(Natural Sciences Publishing Corporation, 2015)
Traditional assumptions in the simple chemostat model include fixed availability of the nutrient and its supply rate, and fast flow rate to avoid wall growth. However, these assumptions become unrealistic when the availability ...
Artículo
Stabilization of Stationary Solutions of Evolution Equations by Noise
(2006)
We investigate the existence, uniqueness and exponential stability of non-constant stationary solutions of stochastic semilinear evolution equations. Our main result shows, in particular, that noise can have a stabilization ...
Artículo
The pathwise numerical approximation of stationary solutions of semilinear stochastic evolution equations
(2006)
Under a one-sided dissipative Lipschitz condition on its drift, a stochastic evolution equation with additive noise of the reaction-diffusion type is shown to have a unique stochastic stationary solution which pathwise ...
Artículo
Equi-Attraction and The Continuous Dependence of Attractors on Time Delays
(American Institute of Mathematical Sciences, 2008)
Under appropriate regularity conditions it is shown that the continuous dependence of the global attractors \mathcal{A}_\tau of semi dynamical systems S^{(\tau)}(t) in C([-\tau,0];Z) with Z a Banach space and time delay ...
Artículo
Weak pullback attractors of setvalued processes
(2003)
Weak pullback attractors are de ned for nonautonomous setvalued processes and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and ...
Artículo
The persistence of synchronization under environmental noise
(2005)
It is shown that the synchronization of dissipative systems persists when they are disturbed by additive noise no matter how large the intensity of the noise provided asymptotically stable stationary stochastic solutions ...
Artículo
Synchronization of a Stochastic Reaction-Diffusion System On a Thin Two-Layer Domain
(2007)
A system of semilinear parabolic stochastic partial differential equations with additive space-time noise is considered on the union of thin bounded tubular domains D1,ε := Γ × (0, ε) and D2,ε := Γ × (−ε, 0) joined at ...
Artículo
Weak Pullback Attractors of Non-Autonomous Difference Inclusions
(Taylor & Francis, 2003)
Weak pullback attractors are defined for non-autonomous difference inclusions and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and ...
Artículo
Pullback and Forward Attractors for a Damped Wave Equation with Delays
(2004)
The existence of a pullback (and also a uniform forward) attractor is proved for a damped wave equation containing a delay forcing term which, in particular, covers the models of Sine-Gordon type. The result follows from ...
Artículo
The three dimensional globally modified Navier-Stokes equations: Recent developments
(2013)
The globally modified Navier-Stokes equations (GMNSE) were introduced by Caraballo, Kloeden & Real in 2006 and have been investigated in a number of papers since then, both for their own sake and as a means of obtaining ...