L-1-convergence rates to the Barenblatt solution for the damped compressible Euler equations

doi:10.1016/j.jde.2018.12.016

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	L-1-convergence rates to the Barenblatt solution for the damped compressible Euler equations
	Geng, Shifeng 1; Huang, Feimin2
	2019-06-05
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	266 期号:12 页码:7890-7908
摘要	In our previous work [17], it is shown that any L-infinity weak entropy solution of damped compressible Euler equation converges to the Barrenblatt's solution with finite mass in L-1 norm with a convergence rate for 1 < gamma < 3. In this paper, by introducing an elaborate iterative method and using the intensive entropy analysis, we prove the L-1 convergence to the Barrenblatt's solution for any large gamma (gamma >= 3). Furthermore, we get better L-1-convergence rate for 2 <= gamma < 3. (C) 2018 Published by Elsevier Inc.
关键词	Convergence rates Compressible Euler equations Barenblatt solution Damping mechanism Compensated compacted
DOI	10.1016/j.jde.2018.12.016
语种	英语
资助项目	National Natural Science Foundation of China[11701489] ; National Natural Science Foundation of China[11371349] ; Hunan Provincial Natural Science Foundation of China[2018JJ2373]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000461785900005
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/34251
专题	应用数学研究所
通讯作者	Geng, Shifeng
作者单位	1.Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China 2.Acad Sinica, AMSS, Inst Appl Math, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Geng, Shifeng,Huang, Feimin. L-1-convergence rates to the Barenblatt solution for the damped compressible Euler equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2019,266(12):7890-7908.
APA	Geng, Shifeng,&Huang, Feimin.(2019).L-1-convergence rates to the Barenblatt solution for the damped compressible Euler equations.JOURNAL OF DIFFERENTIAL EQUATIONS,266(12),7890-7908.
MLA	Geng, Shifeng,et al."L-1-convergence rates to the Barenblatt solution for the damped compressible Euler equations".JOURNAL OF DIFFERENTIAL EQUATIONS 266.12(2019):7890-7908.