Convergence Rates to Nonlinear Diffusion Waves for Solutions to the System of Compressible Adiabatic Flow through Porous Media
文献类型：期刊论文
| 作者 | Geng, Shifeng; Wang, Zhen |
| 刊名 | COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2011 |
| 卷号 | 36期号:5页码:850-872 |
| 关键词 | Convergence rates Nonlinear diffusion waves The system of compressible adiabatic flow |
| 产权排序 | 第一 |
| 通讯作者 | Geng,SF |
| 英文摘要 | We realize the best asymptotic profile for the solutions to the Cauchy problem of the nonisentropic p-system with damping is a particular solution to the corresponding nonlinear parabolic equation with special initial data, and we further show the convergence rates to this particular asymptotic profile. This new rates are much better than that obtained by Nishihara and Nishikawa [15]. |
| WOS标题词 | Science & Technology ; Physical Sciences |
| 学科主题 | 数学 |
| 类目[WOS] | Mathematics, Applied ; Mathematics |
| 研究领域[WOS] | Mathematics |
| 关键词[WOS] | HYPERBOLIC CONSERVATION-LAWS ; P-SYSTEM ; ASYMPTOTIC PROFILE |
| 收录类别 | SCI |
| 语种 | 英语 |
| WOS记录号 | WOS:000286829600005 |
| 源URL | [http://ir.wipm.ac.cn/handle/112942/1822]  |
| 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, Wuhan 430071, Peoples R China |
| 推荐引用方式 GB/T 7714 | Geng, Shifeng,Wang, Zhen. Convergence Rates to Nonlinear Diffusion Waves for Solutions to the System of Compressible Adiabatic Flow through Porous Media[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,2011,36(5):850-872. |
| APA | Geng, Shifeng,&Wang, Zhen.(2011).Convergence Rates to Nonlinear Diffusion Waves for Solutions to the System of Compressible Adiabatic Flow through Porous Media.COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS,36(5),850-872. |
| MLA | Geng, Shifeng,et al."Convergence Rates to Nonlinear Diffusion Waves for Solutions to the System of Compressible Adiabatic Flow through Porous Media".COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS 36.5(2011):850-872. |
入库方式： OAI收割
来源：武汉物理与数学研究所
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