Attractors of parabolic equations without uniqueness
J Valero - Journal of Dynamics and Differential Equations, 2001 - Springer
In this paper we study the existence of global compact attractors for nonlinear parabolic
equations of the reaction-diffusion type and variational inequalities. The studied equations …
equations of the reaction-diffusion type and variational inequalities. The studied equations …
Existence of a global attractor for the parabolic equation with nonlinear Laplacian principal part in an unbounded domain
AK Khanmamedov - Journal of mathematical analysis and applications, 2006 - Elsevier
In this paper, we study the long-time behavior of solutions for the parabolic equation with
non-linear Laplacian principal part in Rn. We prove the existence of a global (L2 (Rn) …
non-linear Laplacian principal part in Rn. We prove the existence of a global (L2 (Rn) …
A remark on two constructions of exponential attractors for α-contractions
A Eden, C Foias, V Kalantarov - Journal of Dynamics and Differential …, 1998 - Springer
An improvement in the original constructions of exponential attractors is indicated. Namely,
when the solution semigroup is α-contractive and satisfies the discrete squeezing property …
when the solution semigroup is α-contractive and satisfies the discrete squeezing property …
The dimension of attractors of nonautonomous partial differential equations
The concept of nonautonomous (or cocycle) attractors has become a proper tool for the
study of the asymptotic behaviour of general nonautonomous partial differential equations …
study of the asymptotic behaviour of general nonautonomous partial differential equations …
[PDF][PDF] Finite‐dimensional attractors and exponential attractors for degenerate doubly nonlinear equations
M Efendiev, S Zelik - Mathematical methods in the applied …, 2009 - researchgate.net
We consider the following doubly nonlinear parabolic equation in a bounded domain⊂ R3: f
(x,* tu)= xu− g (x, u) where the nonlinearity f is allowed to have a degeneracy with respect to …
(x,* tu)= xu− g (x, u) where the nonlinearity f is allowed to have a degeneracy with respect to …
Finite dimensional global attractor for a class of doubly nonlinear parabolic equations
A Miranville - Central European Journal of Mathematics, 2006 - Springer
Finite dimensional global attractor for a class of doubly nonlinear parabolic equations Page 1
Central European Science Journals w w w c e s j o m . . c Central European Journal of …
Central European Science Journals w w w c e s j o m . . c Central European Journal of …
Dynamical aspect of a generalized Cahn–Hilliard equation based on a microforce balance
A Miranville, A Pietrus, JM Rakotoson - Asymptotic Analysis, 1998 - content.iospress.com
Our aim in this article is to study the existence of finite dimensional attractors for a class of
generalized Cahn–Hilliard equations based on a microforce balance introduced by M …
generalized Cahn–Hilliard equations based on a microforce balance introduced by M …
Doubly nonlinear Cahn-Hilliard-Gurtin equations
A Miranville, S Zelik - Hokkaido Mathematical Journal, 2009 - projecteuclid.org
Our aim in this article is to study the long time behavior, in terms of finite-dimensional
attractors, of doubly nonlinear Cahn-Hilliard type equations. In particular, we prove the …
attractors, of doubly nonlinear Cahn-Hilliard type equations. In particular, we prove the …
Finite-dimensionality of attractors for degenerate equations of elliptic–parabolic type
A Miranville, S Zelik - Nonlinearity, 2007 - iopscience.iop.org
Finite-dimensionality of attractors Page 1 Nonlinearity Finite-dimensionality of attractors for
degenerate equations of elliptic–parabolic type To cite this article: A Miranville and S Zelik 2007 …
degenerate equations of elliptic–parabolic type To cite this article: A Miranville and S Zelik 2007 …
Existence and continuity of uniform exponential attractors for a singular perturbation of a generalized Cahn–Hilliard equation
A Bonfoh - Asymptotic Analysis, 2005 - content.iospress.com
We consider a singular perturbation of a generalized Cahn–Hilliard equation based on
constitutive equations derived by M. Gurtin. Compared to the classical Cahn–Hilliard …
constitutive equations derived by M. Gurtin. Compared to the classical Cahn–Hilliard …