Concentration of mass in the pressureless limit of Euler equations for power law

doi:10.1016/j.nonrwa.2018.10.015

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	Concentration of mass in the pressureless limit of Euler equations for power law
	Ibrahim, Muhammad 1,2; Liu, Fujun 3; Liu, Song 1
	2019-06-01
发表期刊	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
ISSN	1468-1218
卷号	47 页码:224-235
摘要	In this paper, the limiting behavior of Riemann solutions to the Euler equations for compressible fluids in power law is studied as the adiabatic exponent goes to zero. We show that the limit solution forms the delta wave of the zero pressure gas dynamics in the distribution sense. At the end of the paper, we also give some numerical results to present the phenomena of concentration. (C) 2018 Elsevier Ltd. All rights reserved.
关键词	Riemann solutions Delta wave Power law Zero pressure gas dynamics Weighted Dirac-measure Numerical simulations
DOI	10.1016/j.nonrwa.2018.10.015
语种	英语
资助项目	CAS-TWAS President's Fellowship Program
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000458714100013
出版者	PERGAMON-ELSEVIER SCIENCE LTD
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/32688
专题	中国科学院数学与系统科学研究院
通讯作者	Liu, Song
作者单位	1.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100190, Peoples R China 3.Beihang Univ, Sch Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Ibrahim, Muhammad,Liu, Fujun,Liu, Song. Concentration of mass in the pressureless limit of Euler equations for power law[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,2019,47:224-235.
APA	Ibrahim, Muhammad,Liu, Fujun,&Liu, Song.(2019).Concentration of mass in the pressureless limit of Euler equations for power law.NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS,47,224-235.
MLA	Ibrahim, Muhammad,et al."Concentration of mass in the pressureless limit of Euler equations for power law".NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS 47(2019):224-235.