Buscar
Mostrando ítems 1-10 de 11
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 ...
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
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 ...
Artículo
Existence of Pullback Attractors for Pullback Asymptotically Compact Processes
(2010)
This paper is concerned with the existence of pullback attractors for evolution processes. Our aim is to provide results that extend the following results for autonomous evolution processes (semigroups) i) An autonomous ...
Artículo
Continuity of Lyapunov Functions and of Energy Level for a Generalized Gradient Semigroup
(2012)
The global attractor of a gradient-like semigroup has a Morse decomposition. Associated to this Morse decomposition there is a Lyapunov function (di erentiable along solutions)-de ned on the whole phase space- which proves ...
Artículo
The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations
(ScienceDirect, 2021-01-01)
In this work, we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic perturbations. For the linear case, we study robustness and existence of exponential dichotomies ...