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Mostrando ítems 1-10 de 14
Artículo
Pullback Attractors for Non-Autonomous Reaction-Diffusion Equations with Dynamical Boundary Conditions
(Elsevier, 2011)
In this paper we prove the existence and uniqueness of a weak solution for a non-autonomous reaction–diffusion model with dynamical boundary conditions. After that, a continuous dependence result is established via an ...
Artículo
Pullback exponential attractors for parabolic equations with dynamical boundary conditions
(Mathematical Society of the Republic of China, 2017-08)
The existence of pullback exponential attractors for a nonautonomous semilinear parabolic equation with dynamical boundary condition is proved when the timedependent forcing terms are translation bounded or even grow ...
Artículo
On The Relation Between Two Different Concepts of Pullback Attractors for Non-Autonomous Dynamical Systems
(Elsevier, 2009)
For an abstract dynamical system, we establish, under minimal assumptions, the existence of D-attractor, i.e. a pullback attractor for a given class D of families of time varying subsets of the phase space. We relate this ...
Artículo
Regularity of pullback attractors and attraction in H1 in arbitrarily large finite intervals for 2D Navier-Stokes equations with infinite delay
(American Institute of Mathematical Sciences, 2014)
In this paper we strengthen some results on the existence and properties of pullback attractors for a non-autonomous 2D Navier-Stokes model with infinite delay. Actually we prove that under suitable assumptions, and thanks ...
Artículo
Pullback attractors for the non-autonomous 2D Navier-Stokes equations for minimally regular forcing
(American Institute of Mathematical Sciences, 2014)
This paper treats the existence of pullback attractors for the non-autonomous 2D Navier--Stokes equations in two different spaces, namely L^2 and H^1. The non-autonomous forcing term is taken in L^2_{\rm loc}(\mathbb ...
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, ...
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 ...