ON A QUASI-LINEAR DEGENERATE HYPERBOLIC SYSTEM OF CONSERVATION-LAWS DESCRIBING NONLINEAR ADVECTION PHENOMENA

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	ON A QUASI-LINEAR DEGENERATE HYPERBOLIC SYSTEM OF CONSERVATION-LAWS DESCRIBING NONLINEAR ADVECTION PHENOMENA
	HSIAO, L ; DEMOTTONI, P
	1991-09-01
发表期刊	ROCKY MOUNTAIN JOURNAL OF MATHEMATICS
ISSN	0035-7596
卷号	21 期号:4 页码:1327-1371
摘要	We consider a two-dimensional system of conservation laws which is hyperbolic but degenerate, for either characteristic field is. genuinely nonlinear in one half of the phase-plane and linearly degenerate in the other half. We prove the existence and uniqueness of the solution of the Riemann problem and the existence of a (BV) solution of the initial-value problem. This system arises in modelling certain nonlinear advection processes and, as shown by the support properties we establish in case of special initial data, may describe pattern differentiation.
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:A1991HD64300008
出版者	ROCKY MT MATH CONSORTIUM
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/27215
专题	中国科学院数学与系统科学研究院
作者单位	1.SECONDA UNIV ROMA,DIPARTIMENTO MATEMAT,ROME,ITALY 2.CHINESE ACAD SCI,INST MATH,BEIJING,PEOPLES R CHINA
推荐引用方式 GB/T 7714	HSIAO, L,DEMOTTONI, P. ON A QUASI-LINEAR DEGENERATE HYPERBOLIC SYSTEM OF CONSERVATION-LAWS DESCRIBING NONLINEAR ADVECTION PHENOMENA[J]. ROCKY MOUNTAIN JOURNAL OF MATHEMATICS,1991,21(4):1327-1371.
APA	HSIAO, L,&DEMOTTONI, P.(1991).ON A QUASI-LINEAR DEGENERATE HYPERBOLIC SYSTEM OF CONSERVATION-LAWS DESCRIBING NONLINEAR ADVECTION PHENOMENA.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS,21(4),1327-1371.
MLA	HSIAO, L,et al."ON A QUASI-LINEAR DEGENERATE HYPERBOLIC SYSTEM OF CONSERVATION-LAWS DESCRIBING NONLINEAR ADVECTION PHENOMENA".ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 21.4(1991):1327-1371.