New geometric flows on Riemannian manifolds and applications to Schrodinger-Airy flows
文献类型：期刊论文
| 作者 | Sun XiaoWei1; Wang YouDe2 |
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2014 |
| 卷号 | 57期号:11页码:2247-2272 |
| 关键词 | LANDAU-LIFSHITZ EQUATION GLOBAL WELL-POSEDNESS VORTEX FILAMENT SOLITON MAPS KDV new geometric flow Schrodinger-Airy flow global existence |
| ISSN号 | 1674-7283 |
| 其他题名 | New geometric flows on Riemannian manifolds and applications to Schrodinger-Airy flows |
| 英文摘要 | In this paper, a class of new geometric flows on a complete Riemannian manifold is defined. The new flow is related to the generalized (third order) Landau-Lifshitz equation. On the other hand it could be thought of as a special case of the Schrodinger-Airy flow when the target manifold is a Kahler manifold with constant holomorphic sectional curvature. We show the local existence of the new flow on a complete Riemannian manifold with some assumptions on Ricci tensor. Moreover, if the target manifolds are Einstein or some certain type of locally symmetric spaces, the global results are obtained. |
| 资助项目 | [National Natural Science Foundation of China] |
| 语种 | 英语 |
| CSCD记录号 | CSCD:5267828 |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/55503]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.北京大学 2.中国科学院数学与系统科学研究院 |
| 推荐引用方式 GB/T 7714 | Sun XiaoWei,Wang YouDe. New geometric flows on Riemannian manifolds and applications to Schrodinger-Airy flows[J]. SCIENCE CHINA-MATHEMATICS,2014,57(11):2247-2272. |
| APA | Sun XiaoWei,&Wang YouDe.(2014).New geometric flows on Riemannian manifolds and applications to Schrodinger-Airy flows.SCIENCE CHINA-MATHEMATICS,57(11),2247-2272. |
| MLA | Sun XiaoWei,et al."New geometric flows on Riemannian manifolds and applications to Schrodinger-Airy flows".SCIENCE CHINA-MATHEMATICS 57.11(2014):2247-2272. |
入库方式： OAI收割
来源：数学与系统科学研究院
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