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扰动色谱方程黎曼解的极限-delta激波的行成和转换
引用本文:韩欣利,潘丽君. 扰动色谱方程黎曼解的极限-delta激波的行成和转换[J]. 数学研究及应用, 2019, 39(1): 61-74
作者姓名:韩欣利  潘丽君
作者单位:南京邮电大学理学院, 江苏 南京 210023,南京航空航天大学理学院, 江苏 南京 211106
基金项目:国家自然科学青年基金(Grant No.11301264), 中国留学基金委,中国博士后基金 (Grant No.2013M531343), 中央高校基本科研业务费专项资金 (Grant No.NZ2014107), 江苏省高校优秀中青年教师和校长境外研修项目, 江苏省自然科学青年基金 (Grant No.BK20130779).
摘    要:本文主要讨论扰动色谱方程delta激波解的行成和转换,并讨论上述方程的黎曼问题.当扰动参数趋于零时,通过研究黎曼解的极限,我们可以观察到如下两个重要现象:激波和接触间断重合行成delta激波,一类激波(一个变量含有delta函数).

关 键 词:色谱方程   扰动   delta激波   行成   转换
收稿时间:2018-01-23
修稿时间:2018-07-17

Formation and Transition of Delta Shock in the Limits of Riemann Solutions to the Perturbed Chromatography Equations
Xinlin HAN and Lijun PAN. Formation and Transition of Delta Shock in the Limits of Riemann Solutions to the Perturbed Chromatography Equations[J]. Journal of Mathematical Research with Applications, 2019, 39(1): 61-74
Authors:Xinlin HAN and Lijun PAN
Abstract:This paper is concerned with the formation and transition of delta shock solutions to the perturbed chromatography equations. We discuss the Riemann problem for the perturbed chromatography equations. By studying the limits of the Riemann solutions as the perturbation parameter tends to zero, we can observe two important phenomena. One is that a shock and a contact discontinuity coincide to form a delta shock. The second is that the transition from one kind of delta shock on which two state variables simultaneously contain the Dirac delta function,to another kind of delta shock on which only one state variable contains the Dirac delta function.
Keywords:chromatography equations   perturbation   delta shock   formation   transition
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