L-1-CONVERGENCE TO GENERALIZED BARENBLATT SOLUTION FOR COMPRESSIBLE EULER EQUATIONS WITH TIME-DEPENDENT DAMPING
文献类型：期刊论文
| 作者 | Geng, Shifeng1; Huang, Feimin2,3 ; Wu, Xiaochun2
|
| 刊名 | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| 出版日期 | 2021 |
| 卷号 | 53期号:5页码:6048-6072 |
| 关键词 | convergence rates compressible Euler equations generalized Barenblatt solution time-dependent damping compensated compactness |
| ISSN号 | 0036-1410 |
| DOI | 10.1137/20M1361043 |
| 英文摘要 | In this paper, the large time behavior of an entropy solution to the compressible Euler equations for polytropic gas (the pressure p(rho) = kappa rho(gamma), gamma > 1) with time-dependent damping like -1/(1+t)(lambda)rho u (0 < lambda < 1) is investigated. By introducing an elaborate iterative method and using intensive entropy analysis, it is proved that the L-infinity entropy solution of compressible Euler equations with finite initial mass converges strongly in the natural L-1 topology to a fundamental solution of the porous medium equation (PME) with time-dependent diffusion, called a generalized Barenblatt solution. It is interesting that the L-1 decay rate is getting faster and faster as lambda increases in (0, gamma/gamma+2], while is getting slower and slower in [gamma\gamma+2, 1). |
| 资助项目 | National Natural Science Foundation of China[12071397] ; National Natural Science Foundation of China[11688101] ; Excellent Youth Project of Hunan Education Department[18B054] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000749346300033 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59968]  |
| 专题 | 应用数学研究所 博士后 |
| 通讯作者 | Wu, Xiaochun |
| 作者单位 | 1.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Geng, Shifeng,Huang, Feimin,Wu, Xiaochun. L-1-CONVERGENCE TO GENERALIZED BARENBLATT SOLUTION FOR COMPRESSIBLE EULER EQUATIONS WITH TIME-DEPENDENT DAMPING[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2021,53(5):6048-6072. |
| APA | Geng, Shifeng,Huang, Feimin,&Wu, Xiaochun.(2021).L-1-CONVERGENCE TO GENERALIZED BARENBLATT SOLUTION FOR COMPRESSIBLE EULER EQUATIONS WITH TIME-DEPENDENT DAMPING.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,53(5),6048-6072. |
| MLA | Geng, Shifeng,et al."L-1-CONVERGENCE TO GENERALIZED BARENBLATT SOLUTION FOR COMPRESSIBLE EULER EQUATIONS WITH TIME-DEPENDENT DAMPING".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 53.5(2021):6048-6072. |
入库方式： OAI收割
来源：数学与系统科学研究院
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