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L-2-CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR EULER EQUATIONS WITH TIME-DEPENDENT DAMPING

文献类型：期刊论文

作者Geng, Shifeng1; Huang, Feimin2; Wu, Xiaochun3
刊名ACTA MATHEMATICA SCIENTIA
出版日期2022-11-01
卷号42期号:6页码:2505-2522
关键词L-2-convergence compressible Euler Equations time asymptotic expansion time-dependent damping relative entropy inequality
ISSN号0252-9602
DOI10.1007/s10473-022-0618-6
英文摘要In this paper, we are concerned with the asymptotic behavior of L-infinity weak-entropy solutions to the compressible Euler equations with a vacuum and time-dependent damping -m/(1+t)(lambda) As lambda is an element of (0, 1/7], we prove that the L-infinity weak-entropy solution converges to the nonlinear diffusion wave of the generalized porous media equation (GPME) in L-2 (R). As lambda is an element of (1/7, 1), we prove that the L-infinity weak-entropy solution converges to an expansion around the nonlinear diffusion wave in L-2 (R), which is the best asymptotic profile. The proof is based on intensive entropy analysis and an energy method.
资助项目National Natural Science Foundation of China[12288201] ; National Natural Science Foundation of China[12071397] ; Excellent Youth Project of Hunan Education Department[21B0165] ; National Key R&D Program of China[2021YFA1000800]
WOS研究方向Mathematics
语种英语
WOS记录号WOS:000865756500019
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/60883]  
专题应用数学研究所
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.Cent South Univ, Sch Math & Stat, HNP LAMA, Changsha 410083, Peoples R China
推荐引用方式
GB/T 7714		 Geng, Shifeng,Huang, Feimin,Wu, Xiaochun. L-2-CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR EULER EQUATIONS WITH TIME-DEPENDENT DAMPING[J]. ACTA MATHEMATICA SCIENTIA,2022,42(6):2505-2522.
APA Geng, Shifeng,Huang, Feimin,&Wu, Xiaochun.(2022).L-2-CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR EULER EQUATIONS WITH TIME-DEPENDENT DAMPING.ACTA MATHEMATICA SCIENTIA,42(6),2505-2522.
MLA Geng, Shifeng,et al."L-2-CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR EULER EQUATIONS WITH TIME-DEPENDENT DAMPING".ACTA MATHEMATICA SCIENTIA 42.6(2022):2505-2522.

入库方式： OAI收割

来源：数学与系统科学研究院

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