ON A QUASI-LINEAR DEGENERATE HYPERBOLIC SYSTEM OF CONSERVATION-LAWS DESCRIBING NONLINEAR ADVECTION PHENOMENA | |
HSIAO, L; DEMOTTONI, P | |
刊名 | ROCKY MOUNTAIN JOURNAL OF MATHEMATICS |
1991-09-01 | |
卷号 | 21期号:4页码:1327-1371 |
ISSN号 | 0035-7596 |
英文摘要 | 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. |
WOS研究方向 | Mathematics |
语种 | 英语 |
出版者 | ROCKY MT MATH CONSORTIUM |
WOS记录号 | WOS:A1991HD64300008 |
内容类型 | 期刊论文 |
源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/27214] |
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. |
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