Global solution of an initial-value problem for two-dimensional compressible Euler equations
文献类型：期刊论文
| 作者 | Li, JQ |
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2002-02-10 |
| 卷号 | 179期号:1页码:178-194 |
| 关键词 | two-dimensional gas expansion compressible Euler equations the existence of global continuous solutions linearly degenerate equations rarefaction waves |
| ISSN号 | 0022-0396 |
| DOI | 10.1006/jdeq.2001.4025 |
| 英文摘要 | This paper is concerned with the existence of global continuous solutions of the expansion of a wedge of gas into a vacuum for compressible Euler equations. By hodograph transformation, we first prove that the flow is governed by a partial differential equation of second order, which is further reduced to a system of two nonhomogeneous linearly degenerate equations in the phase space under an irrotationality condition. Then this conclusion is applied to solving the problem that a wedge of gas expands into a vacuum, which is actually a Goursat-type problem for these two equations in the supersonic domain. (C) 2002 Elsevier Science. |
| 语种 | 英语 |
| WOS记录号 | WOS:000174237800006 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17417]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Li, JQ |
| 作者单位 | 1.Chinese Acad Sci, Math Inst, Beijing 100080, Peoples R China 2.Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel |
| 推荐引用方式 GB/T 7714 | Li, JQ. Global solution of an initial-value problem for two-dimensional compressible Euler equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2002,179(1):178-194. |
| APA | Li, JQ.(2002).Global solution of an initial-value problem for two-dimensional compressible Euler equations.JOURNAL OF DIFFERENTIAL EQUATIONS,179(1),178-194. |
| MLA | Li, JQ."Global solution of an initial-value problem for two-dimensional compressible Euler equations".JOURNAL OF DIFFERENTIAL EQUATIONS 179.1(2002):178-194. |
入库方式： OAI收割
来源：数学与系统科学研究院
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