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

doi:10.1016/j.nonrwa.2018.10.015

	Concentration of mass in the pressureless limit of Euler equations for power law
	Ibrahim, Muhammad 1,2; Liu, Fujun 3; Liu, Song 1
刊名	NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
	2019-06-01
卷号	47 页码:224-235
关键词	Riemann solutions Delta wave Power law Zero pressure gas dynamics Weighted Dirac-measure Numerical simulations
ISSN号	1468-1218
DOI	10.1016/j.nonrwa.2018.10.015
英文摘要	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.
资助项目	CAS-TWAS President's Fellowship Program
WOS研究方向	Mathematics
语种	英语
出版者	PERGAMON-ELSEVIER SCIENCE LTD
WOS记录号	WOS:000458714100013
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/32687]
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.