DELTA SHOCK WAVES FOR THE CHROMATOGRAPHY EQUATIONS AS SELF-SIMILAR VISCOSITY LIMITS | |
Sun, Meina1,2 | |
刊名 | QUARTERLY OF APPLIED MATHEMATICS |
2011-09-01 | |
卷号 | 69期号:3页码:425-443 |
关键词 | Delta shock wave Riemann problem viscosity method Temple class chromatography system hyperbolic conservation laws |
产权排序 | 第二 |
英文摘要 | The Riemann problem for the changed form of the chromatography system is considered here. It can be shown that the delta shock wave appears in the Riemann solution for exactly specified initial states. The generalized Rankine-Hugoniot relation of the delta shock wave is derived in detail. The existence and uniqueness of solutions involving the delta shock wave for the Riemann problem is proven by employing the self-similar viscosity vanishing approach. |
学科主题 | 数学 |
WOS标题词 | Science & Technology ; Physical Sciences |
类目[WOS] | Mathematics, Applied |
研究领域[WOS] | Mathematics |
关键词[WOS] | CONSERVATION-LAWS ; HYPERBOLIC SYSTEMS ; RIEMANN PROBLEM ; VANISHING VISCOSITY ; WELL-POSEDNESS ; GAS-DYNAMICS ; TRANSPORT |
收录类别 | SCI |
语种 | 英语 |
WOS记录号 | WOS:000293935400002 |
内容类型 | 期刊论文 |
源URL | [http://ir.wipm.ac.cn/handle/112942/1833] |
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.Ludong Univ, Sch Math & Informat, Yantai 264025, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Phys Math Lab, Wuhan 430071, Peoples R China |
推荐引用方式 GB/T 7714 | Sun, Meina. DELTA SHOCK WAVES FOR THE CHROMATOGRAPHY EQUATIONS AS SELF-SIMILAR VISCOSITY LIMITS[J]. QUARTERLY OF APPLIED MATHEMATICS,2011,69(3):425-443. |
APA | Sun, Meina.(2011).DELTA SHOCK WAVES FOR THE CHROMATOGRAPHY EQUATIONS AS SELF-SIMILAR VISCOSITY LIMITS.QUARTERLY OF APPLIED MATHEMATICS,69(3),425-443. |
MLA | Sun, Meina."DELTA SHOCK WAVES FOR THE CHROMATOGRAPHY EQUATIONS AS SELF-SIMILAR VISCOSITY LIMITS".QUARTERLY OF APPLIED MATHEMATICS 69.3(2011):425-443. |
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