三元简化色谱方程组的阴影波解

doi:10.6040/j.issn.1671-9352.0.2023.165

摘要/Abstract

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。

关键词: 色谱方程组, 阴影波, 狄拉克激波, 黎曼问题

Abstract: 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-≤0≤p₊, the existence and convergence of shadow wave solutions in the sense of Schwartz distributions are proved. Finally, numerical simulation is given.

Key words: chromatography equation, shadow wave, delta shock, Riemann problem

中图分类号:

O175.27

杨帆,郭俐辉. 三元简化色谱方程组的阴影波解[J]. 《山东大学学报(理学版)》, 2024, 59(10): 89-100.

YANG Fan, GUO Lihui. Shadow wave solutions for ternary simplified chromatography equations[J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2024, 59(10): 89-100.

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