Shock reflection for the damped P-system
文献类型：期刊论文
| 作者 | Hsiao, L; Li, HL |
| 刊名 | QUARTERLY OF APPLIED MATHEMATICS
 |
| 出版日期 | 2002-09-01 |
| 卷号 | 60期号:3页码:437-460 |
| 关键词 | damped P-system shock reflection asymptotic behavior decay rates |
| ISSN号 | 0033-569X |
| 英文摘要 | The global existence and the asymptotic behavior of the weak entropy solution, the piecewise smooth solution with one shock discontinuity, on a strip domain is investigated in the present paper. We show that, for small smooth initial data and boundary value with only one small jump at (x, t) = (0, 0), the piecewise smooth solution with one shock discontinuity exists globally in time. The shock discontinuity begins from (x, t) = (0, 0), moves forward and reflects in a finite time at the boundary x = 1 to form a I-shock, which goes backward and reflects at x = 0 also in a finite time to create a new 2-shock. The shock strength decays exponentially and never disappears in finite time. As t --> infinity, this solution converges to a constant state determined by the initial and the boundary conditions. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000177129700003 |
| 出版者 | AMER MATHEMATICAL SOC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/17627]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Hsiao, L |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 3.SISSA, I-34014 Trieste, Italy |
| 推荐引用方式 GB/T 7714 | Hsiao, L,Li, HL. Shock reflection for the damped P-system[J]. QUARTERLY OF APPLIED MATHEMATICS,2002,60(3):437-460. |
| APA | Hsiao, L,&Li, HL.(2002).Shock reflection for the damped P-system.QUARTERLY OF APPLIED MATHEMATICS,60(3),437-460. |
| MLA | Hsiao, L,et al."Shock reflection for the damped P-system".QUARTERLY OF APPLIED MATHEMATICS 60.3(2002):437-460. |
入库方式： OAI收割
来源：数学与系统科学研究院
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