Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation |
| |
Authors: | Min Jie SHAN |
| |
Affiliation: | Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, P. R. China |
| |
Abstract: | The initial value problem for two-dimensional Zakharov-Kuznetsov equation is shown to be globally well-posed in Hs(R2) for all 5/7 < s < 1 via using I-method in the context of atomic spaces. By means of the increment of modified energy, the existence of global attractor for the weakly damped, forced Zakharov-Kuznetsov equation is also established in Hs(R2) for 10/11 < s < 1. |
| |
Keywords: | Zakharov-Kuznetsov equation global well-posedness global attractor I-method atomic spaces |
|
| 点击此处可从《数学学报(英文版)》浏览原始摘要信息 |
|
点击此处可从《数学学报(英文版)》下载全文 |