一维非线性色谱方程组的Riemann问题  

Riemann Problem of Nonlinear Chromatography Equations for One-Dimensional

作　　者：王晓霞[1] 

机构地区：[1]新疆大学数学与系统科学学院,乌鲁木齐830046

出　　处：《重庆理工大学学报（自然科学）》2013年第12期129-136,共8页Journal of Chongqing University of Technology：Natural Science

基　　金：新疆高校科研计划资助项目(XJEDU2011S02)

摘　　要：研究了一维非线性色谱方程组的Riemann问题。利用特征分析及相平面分析法构造性得到了Riemann问题解的存在性。特别地,当u-+v-≤0≤u++v+时,得到δ激波解,且δ函数同时支撑在2个状态变量上。This paper is concerned with the Riemann problem of one-dimensional nonlinear chroma- tography equations. We get the existence of the Riemann solutions constructively by employing the 1 methods of characteristics analysis and phase plane analysis. Particularly, the αk = 1/k＋1 shock wave solution will be obtained when △k = k^2δ , and the Dirac delta functions develop simultaneously in both state variables.

关 键 词：非线性色谱方程组 RIEMANN问题 激波 疏散波 接触间断 δ激波 

分 类 号：O175.12[理学—数学]