KMS Of Academy of mathematics and systems sciences, CAS
| Global smooth solution of multi-dimensional non-homogeneous conservation laws | |
| Yang, XZ; Zhang, T | |
| 2004-10-01 | |
| 发表期刊 | PROGRESS IN NATURAL SCIENCE
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| ISSN | 1002-0071 |
| 卷号 | 14期号:10页码:855-862 |
| 摘要 | The initial value problem of multi-dimensional non-homogeneous conservation laws is studied and a sufficient condition of the existence of its global smooth solution is obtained. Additionally, three equivalent propositions of the existence of global smooth solution for multi-dimensional homogeneous scalar conservation laws are also obtained. The global smooth solution is uniquely expressed by the global implicit function that is determined by a scalar equation, not by a system as usual methods do. |
| 关键词 | conservation laws global smooth solution global implicit function diffeomorphism |
| 语种 | 英语 |
| WOS研究方向 | Materials Science ; Science & Technology - Other Topics |
| WOS类目 | Materials Science, Multidisciplinary ; Multidisciplinary Sciences |
| WOS记录号 | WOS:000224688400003 |
| 出版者 | TAYLOR & FRANCIS LTD |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/19488 |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yang, XZ |
| 作者单位 | 1.Shantou Univ, Dept Math, Shantou 515063, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, XZ,Zhang, T. Global smooth solution of multi-dimensional non-homogeneous conservation laws[J]. PROGRESS IN NATURAL SCIENCE,2004,14(10):855-862. |
| APA | Yang, XZ,&Zhang, T.(2004).Global smooth solution of multi-dimensional non-homogeneous conservation laws.PROGRESS IN NATURAL SCIENCE,14(10),855-862. |
| MLA | Yang, XZ,et al."Global smooth solution of multi-dimensional non-homogeneous conservation laws".PROGRESS IN NATURAL SCIENCE 14.10(2004):855-862. |
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