THE RIEMANN PROBLEM FOR THE NONLINEAR DEGENERATE WAVE EQUATIONS

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 2011年以前论文发表（包括2011年）

	THE RIEMANN PROBLEM FOR THE NONLINEAR DEGENERATE WAVE EQUATIONS
	Liu Xiaomin 1,2; Wang Zhen 1
刊名	ACTA MATHEMATICA SCIENTIA
	2011-11-01
卷号	31 期号:6 页码:2313-2322
关键词	degenerate wave equations Riemann problems not strictly hyperbolic Liuentropy condition
产权排序	第一
英文摘要	In this paper we consider the Riemann problem for the nonlinear degenerate wave equations. This problem has been studied by Sun and Sheng, however the so-called degenerate shock solutions did not satisfy the R-H condition. In the present paper, the Riemann solutions of twelve regions in the v - u plane are completely constructed by the Liu-entropy condition. Our Riemann solutions are very different to that one obtained by Sun and Sheng in some regions.
学科主题	数学
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	CONSERVATION LAWS
收录类别	SCI
语种	英语
WOS记录号	WOS:000297610800019
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1928]
专题	武汉物理与数学研究所_2011年以前论文发表（包括2011年）
作者单位	1.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China 2.Chinese Acad Sci, Grad Sch, Beijing 100039, Peoples R China
推荐引用方式 GB/T 7714	Liu Xiaomin,Wang Zhen. THE RIEMANN PROBLEM FOR THE NONLINEAR DEGENERATE WAVE EQUATIONS[J]. ACTA MATHEMATICA SCIENTIA,2011,31(6):2313-2322.
APA	Liu Xiaomin,&Wang Zhen.(2011).THE RIEMANN PROBLEM FOR THE NONLINEAR DEGENERATE WAVE EQUATIONS.ACTA MATHEMATICA SCIENTIA,31(6),2313-2322.
MLA	Liu Xiaomin,et al."THE RIEMANN PROBLEM FOR THE NONLINEAR DEGENERATE WAVE EQUATIONS".ACTA MATHEMATICA SCIENTIA 31.6(2011):2313-2322.