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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
Source PublicationROCKY MOUNTAIN JOURNAL OF MATHEMATICS
ISSN0035-7596
Volume21Issue:4Pages:1327-1371
AbstractWe 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.
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:A1991HD64300008
PublisherROCKY MT MATH CONSORTIUM
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/27215
Collection中国科学院数学与系统科学研究院
Affiliation1.SECONDA UNIV ROMA,DIPARTIMENTO MATEMAT,ROME,ITALY
2.CHINESE ACAD SCI,INST MATH,BEIJING,PEOPLES R CHINA
Recommended Citation
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.
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