𝔖 Bobbio Scriptorium
✦   LIBER   ✦

One-dimensional attractor for a strongly damped lattice system

✍ Scribed by Hong-Yan Li; Sheng-Fan Zhou

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
206 KB
Volume
14
Category
Article
ISSN
1007-5704

No coin nor oath required. For personal study only.

✦ Synopsis

In this paper, we consider an attractor of a second order strongly damped lattice system with the non-negative definite symmetric coupled operator. We obtain the existence of a global attractor and prove this attractor is homeomorphic to the circle.

πŸ“œ SIMILAR VOLUMES

One-dimensional global attractor for str
One-dimensional global attractor for strongly damped wave equations
✍ Hongyan Li; Shengfan Zhou πŸ“‚ Article πŸ“… 2007 πŸ› Elsevier Science 🌐 English βš– 181 KB

We consider the dynamical behavior of the strongly damped wave equations under homogeneous Neumann boundary condition. By the property of limit set of asymptotic autonomous differential equations, we prove that in certain parameter region, the system has a one-dimensional global attractor, which is

Attractors for a damped wave equation on
Attractors for a damped wave equation on ℝ3 with linear memory
✍ Vittorino Pata πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 164 KB πŸ‘ 1 views

A damped semilinear hyperbolic equation on 1 with linear memory is considered in a history space setting. Viewing the past history of the displacement as a variable of the system, it is possible to express the solution in terms of a strongly continuous process of continuous operators on a suitable H

Infinite dimensional exponential attract
Infinite dimensional exponential attractors for a non–autonomous reaction–diffusion system
✍ Messoud Efendiev; Alain Miranville; Sergey Zelik πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 334 KB

## Abstract In this article, we give a construction of exponential attractors that is valid for general translation–compact non–autonomous systems. Since they are generally infinite dimensional, we replace, compared with the standard definition, the condition of finite fractal dimensionality of exp

H2-compact attractor for a non-Newtonian
H2-compact attractor for a non-Newtonian system in two-dimensional unbounded domains
✍ Caidi Zhao; Yongsheng Li πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 238 KB

In this paper, the authors study the long time behavior of a non-Newtonian system in twodimensional unbounded domains. They prove the existence of H 2 -compact attractor for the system by showing the corresponding semigroup is asymptotically compact.