KMS Of Academy of mathematics and systems sciences, CAS
L-1-CONVERGENCE TO GENERALIZED BARENBLATT SOLUTION FOR COMPRESSIBLE EULER EQUATIONS WITH TIME-DEPENDENT DAMPING | |
Geng, Shifeng1; Huang, Feimin2,3; Wu, Xiaochun2 | |
2021 | |
Source Publication | SIAM JOURNAL ON MATHEMATICAL ANALYSIS |
ISSN | 0036-1410 |
Volume | 53Issue:5Pages:6048-6072 |
Abstract | 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). |
Keyword | convergence rates compressible Euler equations generalized Barenblatt solution time-dependent damping compensated compactness |
DOI | 10.1137/20M1361043 |
Indexed By | SCI |
Language | 英语 |
Funding Project | National Natural Science Foundation of China[12071397] ; National Natural Science Foundation of China[11688101] ; Excellent Youth Project of Hunan Education Department[18B054] |
WOS Research Area | Mathematics |
WOS Subject | Mathematics, Applied |
WOS ID | WOS:000749346300033 |
Publisher | SIAM PUBLICATIONS |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/59969 |
Collection | 应用数学研究所 博士后 |
Corresponding Author | Wu, Xiaochun |
Affiliation | 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 |
Recommended Citation 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. |
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