Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation
文献类型：期刊论文
| 作者 | Shan, Min Jie |
| 刊名 | ACTA MATHEMATICA SINICA-ENGLISH SERIES
 |
| 出版日期 | 2020-09-01 |
| 卷号 | 36期号:9页码:969-1000 |
| 关键词 | Zakharov-Kuznetsov equation global well-posedness global attractor I-method atomic spaces |
| ISSN号 | 1439-8516 |
| DOI | 10.1007/s10114-020-9381-6 |
| 英文摘要 | The initial value problem for two-dimensional Zakharov-Kuznetsov equation is shown to be globally well-posed in H-s(R-2) 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 H-s (R-2) for 10/11 < s < 1. |
| 资助项目 | China Postdoctoral Science Foundation[2019M650872] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000566338000001 |
| 出版者 | SPRINGER HEIDELBERG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52069]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Shan, Min Jie |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Shan, Min Jie. Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2020,36(9):969-1000. |
| APA | Shan, Min Jie.(2020).Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation.ACTA MATHEMATICA SINICA-ENGLISH SERIES,36(9),969-1000. |
| MLA | Shan, Min Jie."Global Well-posedness and Global Attractor for Two-dimensional Zakharov-Kuznetsov Equation".ACTA MATHEMATICA SINICA-ENGLISH SERIES 36.9(2020):969-1000. |
入库方式： OAI收割
来源：数学与系统科学研究院
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