Global structure of admissible solutions of multi-dimensional non-homogeneous scalar conservation law with Riemann-type data
文献类型：期刊论文
| 作者 | Yang, Xiaozhou1; Cao, Gaowei1; Xiang, Wei2 |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2017-07-15 |
| 卷号 | 263期号:2页码:1055-1078 |
| 关键词 | Multi-dimensional Non-homogeneous Conservation Laws Shock Wave Rarefaction Wave Non-self-qimilar Solution |
| DOI | 10.1016/j.jde.2017.03.007 |
| 文献子类 | Article |
| 英文摘要 | We investigate the global expression and structure of admissible weak solutions of an n dimensional non-homogeneous scalar conservation law with the initial data that has two constant states, separated by an n 1 dimensional smooth manifold. We obtain the unique global existence of non-self-similar solutions. It is the first result about the global structure of non-self-similar shock waves and rarefaction waves of n dimensional non-homogeneous scalar conservation law. The shock wave and the rarefaction wave can be directly expressed and studied by a global implicit function. Finally, we give some applications to discover some interesting phenomena. (C) 2017 Elsevier Inc. All rights reserved. |
| WOS关键词 | 2 SPACE DIMENSIONS ; EQUATIONS |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000400220400008 |
| 资助机构 | CityU Start-Up Grant for New Faculty(7200429) ; CityU Start-Up Grant for New Faculty(7200429) ; Research Grants Council of the HKSAR, China(CityU 21305215 ; Research Grants Council of the HKSAR, China(CityU 21305215 ; NSFC(11471332) ; NSFC(11471332) ; CityU 11332916) ; CityU 11332916) ; CityU Start-Up Grant for New Faculty(7200429) ; CityU Start-Up Grant for New Faculty(7200429) ; Research Grants Council of the HKSAR, China(CityU 21305215 ; Research Grants Council of the HKSAR, China(CityU 21305215 ; NSFC(11471332) ; NSFC(11471332) ; CityU 11332916) ; CityU 11332916) |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/11450]  |
| 专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
| 作者单位 | 1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang, Xiaozhou,Cao, Gaowei,Xiang, Wei. Global structure of admissible solutions of multi-dimensional non-homogeneous scalar conservation law with Riemann-type data[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2017,263(2):1055-1078. |
| APA | Yang, Xiaozhou,Cao, Gaowei,&Xiang, Wei.(2017).Global structure of admissible solutions of multi-dimensional non-homogeneous scalar conservation law with Riemann-type data.JOURNAL OF DIFFERENTIAL EQUATIONS,263(2),1055-1078. |
| MLA | Yang, Xiaozhou,et al."Global structure of admissible solutions of multi-dimensional non-homogeneous scalar conservation law with Riemann-type data".JOURNAL OF DIFFERENTIAL EQUATIONS 263.2(2017):1055-1078. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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