Convergence to strong nonlinear rarefaction waves for global smooth solutions of p-system with relaxation
文献类型：期刊论文
| 作者 | Zhao, HJ; Zhao, YC |
| 刊名 | DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS
 |
| 出版日期 | 2003-09-01 |
| 卷号 | 9期号:5页码:1243-1262 |
| 关键词 | strong nonlinear rarefaction waves p-system with relaxation large initial error |
| 英文摘要 | This paper is concerned with the large time behavior of global smooth solutions to the Cauchy problem of the p-system with relaxation. Former results in this direction indicate that such a problem possesses a global smooth solution provided that the first derivative of the solutions with respect to the space variable x are sufficiently small. Under the same small assumption on the global smooth solution, we show that it converges to the corresponding nonlinear rarefaction wave and in our analysis, we do not ask the rarefaction wave to be weak and the initial error can also be chosen arbitrarily large. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | HYPERBOLIC CONSERVATION-LAWS ; SPACE DIMENSIONS ; ASYMPTOTIC STABILITY ; PARABOLIC EQUATIONS ; APPROXIMATION ; VISCOSITY ; BEHAVIOR ; TERMS ; DECAY |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000182710500010 |
| 公开日期 | 2015-12-08 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/8841]  |
| 专题 | 武汉物理与数学研究所_2011年以前论文发表（包括2011年） |
| 作者单位 | Chinese Acad Sci, Wuhan Inst Phys & Math, Phys Math Lab, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhao, HJ,Zhao, YC. Convergence to strong nonlinear rarefaction waves for global smooth solutions of p-system with relaxation[J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,2003,9(5):1243-1262. |
| APA | Zhao, HJ,&Zhao, YC.(2003).Convergence to strong nonlinear rarefaction waves for global smooth solutions of p-system with relaxation.DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS,9(5),1243-1262. |
| MLA | Zhao, HJ,et al."Convergence to strong nonlinear rarefaction waves for global smooth solutions of p-system with relaxation".DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS 9.5(2003):1243-1262. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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