Convergence Rates to Asymptotic Profile for Solutions of Quasilinear Hyperbolic Equations with Nonlinear Damping
文献类型:期刊论文
作者 | Geng, Shi-feng1,2; Wang, Zhen2 |
刊名 | ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES
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出版日期 | 2016-06-01 |
卷号 | 32期号:1页码:55-66 |
关键词 | asymptotic behavior convergence rates quasilinear hyperbolic equation nonlinear damping |
英文摘要 | The quasilinear hyperbolic equation with nonlinear damping is considered in this paper, a new asymptotic profile for the solution to the equation is obtained by suitably choosing the initial data of the corresponding parabolic equation, the convergence rates of the new profile are better than that obtained by Nishihara (1997, J. Differential Equations 137, 384-395) and H.-J. Zhao (2000, J. Differential Equations 167, 467-494). |
WOS标题词 | Science & Technology ; Physical Sciences |
类目[WOS] | Mathematics, Applied |
研究领域[WOS] | Mathematics |
关键词[WOS] | DIFFUSION WAVES ; P-SYSTEM ; CONSERVATION-LAWS ; RELAXATION ; BEHAVIOR |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000373403700004 |
源URL | [http://ir.wipm.ac.cn/handle/112942/9320] ![]() |
专题 | 武汉物理与数学研究所_数学物理与应用研究部 |
作者单位 | 1.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China |
推荐引用方式 GB/T 7714 | Geng, Shi-feng,Wang, Zhen. Convergence Rates to Asymptotic Profile for Solutions of Quasilinear Hyperbolic Equations with Nonlinear Damping[J]. ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,2016,32(1):55-66. |
APA | Geng, Shi-feng,&Wang, Zhen.(2016).Convergence Rates to Asymptotic Profile for Solutions of Quasilinear Hyperbolic Equations with Nonlinear Damping.ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES,32(1),55-66. |
MLA | Geng, Shi-feng,et al."Convergence Rates to Asymptotic Profile for Solutions of Quasilinear Hyperbolic Equations with Nonlinear Damping".ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES 32.1(2016):55-66. |
入库方式: OAI收割
来源:武汉物理与数学研究所
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