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On Global Attractors for a Class of Parabolic Problems
(Natural Sciences Publishing Corp-nsp, 2014)
On Global Attractors for a Class of Parabolic Problems
(Natural Sciences Publishing Corp-nsp, 2014)
Upper semicontinuity of global attractors for quasilinear parabolic equations on unbounded thin domains
(Springer, 2015-12-01)
We consider the asymptotic behavior of quasilinear parabolic equations posed in a family of unbounded domains that degenerates onto a lower dimensional set. Considering an auxiliary family of weighted Sobolev spaces we ...
Global attractors for a system of elasticity with small delays
(Wiley-Blackwell, 2021-01-25)
This paper is concerned with dynamics of elasticity systems featuring a nonlinear foundation of critical growth and delay effects. The existence of global attractors for such systems has been studied recently. Our main ...
Dynamics of the viscous Cahn-Hilliard equation
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
We study generalized viscous Cahn-Hilliard problems with nonlinearities satisfying critical growth conditions in W-0(1,p)(Omega), where Omega is a bounded smooth domain in R-n, n >= 3. In the critical growth case, we prove ...
Atratores de trajetórias para equações de evolução abstratas e aplicação a uma equação de reação difusão
(Universidade Federal de São CarlosUFSCarPrograma de Pós-Graduação em Matemática - PPGMCâmpus São Carlos, 2017-03-20)
The purpose of this work is to study the asymptotic behaviour of abstract autonomous evolution
equations. The first part is dedicated to the theory of existence of global attractors for univoque
autonomous problems and ...
Finite-dimensional global attractors in Banach spaces
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2010)
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 ...
Regularity of solutions on the global attractor for a semilinear damped wave equation
(ACADEMIC PRESS INC ELSEVIER SCIENCE, 2008)
We consider attractors A(eta), eta epsilon [0, 1], corresponding to a singularly perturbed damped wave equation u(tt) + 2 eta A(1/2)u(t) + au(t) + Au = f (u) in H-0(1)(Omega) x L-2 (Omega), where Omega is a bounded smooth ...
Asymptotic behaviour of a phase-field model with three coupled equations without uniqueness
(Academic Press Inc Elsevier ScienceSan DiegoEUA, 2009)
Continuity of Lyapunov functions and of energy level for generalized gradient semigroup
(JULIUSZ SCHAUDER CTR NONLINEAR STUDIESTORUN, 2012)
The global attractor of a gradient-like semigroup has a Morse decomposition. Associated to this Morse decomposition there is a Lyapunov function (differentiable along solutions)-defined on the whole phase space- which ...