𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Global Attractor of a Dissipative Nonlinear Evolution System

✍ Scribed by Huai-Yu Jian; Xiao-Ping Wang; Din-Yu Hsieh


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
131 KB
Volume
238
Category
Article
ISSN
0022-247X

No coin nor oath required. For personal study only.

✦ Synopsis


We study the global smooth solution and the global attractor for a dissipative nonlinear evolution system given by strongly coupled parabolic equations.


πŸ“œ SIMILAR VOLUMES


Global attractor and decay estimates of
✍ Caisheng Chen; Hui Wang; ShengLan Zhu πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 199 KB

## Communicated by X. Wang In this work, we prove the existence of global attractor for the nonlinear evolution equation . This improves a previous result of Xie and Zhong in (J. Math. Anal. Appl. 2007; 336:54-69.) concerning the existence of global attractor in H 1 0 (X)Γ—H 1 0 (X) for a similar

Global Smooth Solutions to the Spatially
✍ Ling Hsiao; Huaiyu Jian πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 214 KB

The existence and uniqueness are proved for global classical solutions of the spatially periodic Cauchy problem to the following system of parabolic equations s y y ␣ y q ␣ Ž . which was proposed as a substitute for the Rayleigh᎐Benard equation and can lead to Lorenz equations.

Dimension of the Global Attractor for St
✍ Shengfan Zhou πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 109 KB

The existence and estimate of the upper bound of the Hausdorff dimension of the global attractor for the strongly damped nonlinear wave equation with the Dirichlet boundary condition are considered by introducing a new norm in the phase space. The gained Hausdorff dimension decreases as the damping