Asymptotic behavior of solutions to the compressible adiabatic flow through porous media with boundary effects
文献类型：期刊论文
| 作者 | Hsiao, L; Li, HL |
| 刊名 | CHINESE ANNALS OF MATHEMATICS SERIES B
 |
| 出版日期 | 2002 |
| 卷号 | 23期号:1页码:109-118 |
| 关键词 | initial boundary value problem global existence large-time behavior |
| ISSN号 | 0252-9599 |
| 英文摘要 | The initial boundary value problems (IBVP) for the system of compressible adiabatic flow through porous media and the IBVP for its corresponding reduced system through Darcy' laws on [0, 1] x [0, +infinity) are considered respectively. The global existence of smooth solutions to the IBVP problems for two systems are proved, and their large-time behavior is analyzed. The time-asymptotic equivalence of these two systems are investigated, the decay rate of the difference of solutions between these two systems are shown to be determined explicitly by the initial perturbations and boundary effects. It is found that the oscillation of the specific volume can be cancelled by that of entropy, i.e., the oscillation of the specific volume and entropy is not required to be small. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000175192700011 |
| 出版者 | SHANGHAI SCIENTIFIC TECHNOLOGY LITERATURE PUBLISHING HOUSE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17651]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 作者单位 | 1.Acad Sinica, Math Inst, Beijing 100080, Peoples R China 2.Univ Vienna, Math Inst, A-1090 Vienna, Austria |
| 推荐引用方式 GB/T 7714 | Hsiao, L,Li, HL. Asymptotic behavior of solutions to the compressible adiabatic flow through porous media with boundary effects[J]. CHINESE ANNALS OF MATHEMATICS SERIES B,2002,23(1):109-118. |
| APA | Hsiao, L,&Li, HL.(2002).Asymptotic behavior of solutions to the compressible adiabatic flow through porous media with boundary effects.CHINESE ANNALS OF MATHEMATICS SERIES B,23(1),109-118. |
| MLA | Hsiao, L,et al."Asymptotic behavior of solutions to the compressible adiabatic flow through porous media with boundary effects".CHINESE ANNALS OF MATHEMATICS SERIES B 23.1(2002):109-118. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。