## 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)ΓH 1 0 (X) for a similar
The Global Attractor of a Dissipative Nonlinear Evolution System
β 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.
β¦ Synopsis
We study the global smooth solution and the global attractor for a dissipative nonlinear evolution system given by strongly coupled parabolic equations.
π SIMILAR VOLUMES
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 β£ y q β£ Ε½ . which was proposed as a substitute for the RayleighαBenard equation and can lead to Lorenz equations.
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