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1

Global attractor for nonlinear recurrence of second order

100%
Bobrowski D.
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
|
1997
|
tom 17
|
nr 1-2
83-88
EN
This paper contains some sufficient condition for the point zero to be a global attractor for nonlinear recurrence of second order.
2
Content available remote

Abstract parabolic problem with non-Lipschitz nonlinearity

88%
Cholewa J. W., Dlotko T.
Banach Center Publications
|
2000
|
tom 52
|
nr 1
73-81
EN
An abstract parabolic equation with sectorial operator and continuous nonlinearity is studied in this paper. In particular, the asymptotic behavior of solutions is described within the framework of the theory of global attractors. Examples included in the final part of the paper illustrate the presented ideas.
3
Content available remote

Finite dimensional global attractor for a class of doubly nonlinear parabolic equations

75%
Miranville A.
Open Mathematics
|
2006
|
tom 4
|
nr 1
163-182
EN
Our aim in this paper is to study the long time behavior of a class of doubly nonlinear parabolic equations. In particular, we prove the existence of the global attractor which has, in one and two space dimensions, finite fractal dimension.
4
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Global φ-attractor for a modified 3D Bénard system on channel-like domains

75%
Kapustyan O. V., Pankov A. V.
Nonautonomous Dynamical Systems
|
2014
|
tom 1
EN
In this paper we prove the existence of a global φ-attractor in the weak topology of the natural phase space for the family of multi-valued processes generated by solutions of a nonautonomous modified 3D Bénard system in unbounded domains for which Poincaré inequality takes place.
5
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A necessary and sufficient condition for the existence of an exponential attractor

63%
Pražák D.
Open Mathematics
|
2003
|
tom 1
|
nr 3
411-417
EN
We give a necessary and sufficient condition for the existence of an exponential attractor. The condition is formulated in the context of metric spaces. It also captures the quantitative properties of the attractor, i.e., the dimension and the rate of attraction. As an application, we show that the evolution operator for the wave equation with nonlinear damping has an exponential attractor.
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