三元简化色谱方程组的阴影波解  

Shadow wave solutions for ternary simplified chromatography equations

作　　者：杨帆 郭俐辉[1] YANG Fan;GUO Lihui(College of Mathematics and System Sciences,Xinjiang University,Urumqi 830046,Xinjiang,China)

机构地区：[1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046

出　　处：《山东大学学报（理学版）》2024年第10期89-100,共12页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(12161084,11961063);新疆维吾尔自治区自然科学基金资助项目(2022D01E42);新疆应用数学自治区重点实验室资助项目(XJDX1401)。

摘　　要：主要研究三元简化色谱方程组黎曼解的整体结构及阴影波解的存在性和收敛性。根据黎曼初值,将黎曼问题分6种情形进行讨论,得到三元简化色谱方程组的黎曼解。当-1-≤0≤p+时,证明阴影波解在Schwartz广义函数意义下的存在性和收敛性。最后,给出数值模拟。This paper mainly considers the overall structure of Riemann solution and the existence and convergence of shadow wave solutions of the ternary simplified chromatography equations.According to Riemann initial data,and Riemann problem is divided into six different cases,Riemann solutions for the ternary simplified chromatography equations are obtained.When-1<p-≤0≤p+,the existence and convergence of shadow wave solutions in the sense of Schwartz distributions are proved.Finally,numerical simulation is given.

关 键 词：色谱方程组 阴影波 狄拉克激波 黎曼问题 

分 类 号：O175.27[理学—数学]