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Mostrando ítems 1-10 de 14
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
A Non-Autonomous Strongly Damped Wave Equation: Existence and Continuity of the Pullback Attractor
(2011)
In this paper we consider the strongly damped wave equation with time dependent terms utt − u − γ(t) ut + β"(t)ut = f(u), in a bounded domain ⊂ Rn, under some restrictions on β"(t), γ(t) and growth restrictions on the ...
Artículo
Non-autonomous morse-decomposition and Lyapunov functions for gradient-like processes
(2013)
We define (time dependent) Morse-decompositions for non-autonomous evolution processes (non-autonomous dynamical systems) and prove that a non-autonomous gradient-like evolution process possesses a Morsedecomposition on ...
Artículo
Stability of Gradient Semigroups Under Perturbations
(2011)
In this paper we prove that gradient-like semigroups (in the sense of Carvalho and Langa (2009 J. Diff. Eqns 246 2646–68)) are gradient semigroups (possess a Lyapunov function). This is primarily done to provide conditions ...
Tesis Doctoral
Finite-dimensionality of attractors for dynamicl systems wigh applications: deterministic and random settings
(2021-01-27)
In this work we obtain estimates on the fractal dimension of attractors in three different settings: global attractors associated to autonomous dynamical systems, uniform attractors associated to non-autonomous dynamical ...
Artículo
Characterization of non-autonomous attractors of a perturbed infinite-dimensional gradient system
(Elsevier, 2007-05-15)
In this paper we determine the exact structure of the pullback attractors in non-autonomous problems that are perturbations of autonomous gradient systems with attractors that are the union of the unstable manifolds of a ...
Artículo
Equi-attraction and continuity of attractors for skew-product semiflows
(American Institute of Mathematical Sciences, 2016-11)
In this paper we prove the equivalence between equi-attraction and continuity of attractors for skew-product semi-flows, and equi-attraction and continuity of uniform and cocycle attractors associated to non-autonomous ...
Artículo
Skew Product Semiflows and Morse Decomposition
(2013)
This paper is devoted to the investigation of the dynamics of non-autonomous differential equations. The description of the asymptotic dynamics of non-autonomous equations lies on dynamical structures of some associated ...
Artículo
Finite-dimensional global attractors in Banach spaces
(Elsevier, 2010-12-15)
We provide bounds on the upper box-counting dimension of negatively invariant subsets of Banach spaces, a problem that is easily reduced to covering the image of the unit ball under a linear map by a collection of balls ...
Artículo
An Estimate On the Fractal Dimension of Attractors of Gradient-Like Dynamical Systems
(2012)
This paper is dedicated to estimate the fractal dimension of exponential global attractors of some generalized gradient-like semigroups in a general Banach space in terms of the maximum of the dimension of the local ...