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Artículo
Gradient-like nonlinear semigroups with infinitely many equilibria and applications to cascade systems
(Nicolaus Copernicus University in Torun, Juliusz Schauder Centre for Nonlinear Studies, 2013-12)
We consider an autonomous dynamical system coming from a coupled system in cascade where the uncoupled part of the system satisfies that the solutions comes from −∞ and goes to ∞ to equilibrium points, and where the coupled ...
Artículo
Long-time behavior of a non-autonomous parabolic equation with nonlocal diffusion and sublinear terms
(Pergamon Press, 2015)
This paper is devoted to study the asymptotic behavior of a time-dependent parabolic equation with nonlocal diffusion and nonlinear terms with sublinear growth. Namely, we extend some previous results from the literature, ...
Artículo
Artículo
H^2-boundedness of the pullback attractors for non-autonomous 2D Navier-Stokes equations in bounded domains
(Elsevier, 2011)
We prove some regularity results for the pullback attractors of a non-autonomous 2D Navier–Stokes model in a bounded domain Ω of R2. We establish a general result about (H2(Ω))2∩V-boundedness of invariant sets for the ...
Artículo
Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations
(Cambridge University Press, 2018-10)
In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion equation is proved. Next, the existence of minimal pullback attractors in the L2 -norm in the ...
Artículo
Pullback attractors in V for non-autonomous 2D-Navier-Stokes equations and their tempered behaviour
(Elsevier, 2012)
In this paper the asymptotic behaviour of the solutions to a non-autonomous 2D-Navier–Stokes model is analyzed when the initial datum belongs to V, for two frameworks: the universe of fixed bounded sets, and also for another ...
Artículo
Robustness of nonautonomous attractors for a family of nonlocal reaction–diffusion equations without uniqueness
(Springer, 2015-06-17)
In this paper, we consider a non-autonomous nonlocal reactiondiffusion equation with a small perturbation in the nonlocal diffusion term and the non-autonomous force. Under the assumptions imposed on the viscosity function, ...
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Three Dimensional System of Globally Modified Navier-Stokes Equations with Infinite Delays
(American Institute of Mathematical Sciences, 2010)
Existence and uniqueness of solution for a globally modified version of Navier-Stokes equations containing infinite delay terms are established. Moreover, we also analyze the stationary problem and, under suitable additional ...
Artículo
Attractors for a Double Time-Delayed 2D-Navier-Stokes Model
(American Institute of Mathematical Sciences, 2014)
In this paper, a double time-delayed 2D-Navier-Stokes model is considered. It includes delays in the convective and the forcing terms. Existence and uniqueness results and suitable dynamical systems are established. We ...
Artículo
Attractors for Parametric Delay Differential Equations and Their Continuous Behavior
(World Scientific, 2010)
The problem of the continuity of global attractors under minimal assumptions for a general class of parameterized delay differential equations is considered. The theory of equi-attraction developed by Li and Kloeden in ...