色谱方程组的激波解
Shock Wave for the Simplified Chromatography Equations
陶然 1郭俐辉1
作者信息
- 1. 新疆大学数学与系统科学学院,新疆 乌鲁木齐 830017
- 折叠
摘要
文章研究色谱方程组激波解的形成及适定性.首先,在一定条件下,利用特征分解理论,证明柯西问题解的导数在有限时间内爆破,即激波的形成.其次,利用自相似粘性消失法,证明激波解的存在性,唯一性和稳定性.并且,给出一些有代表性的数值模拟结果.
Abstract
In this paper,we investigate the formation and the well-posedness of the shock solution for the simplified chromatography equations.Firstly,under certain conditions,we prove that the derivatives of the solution for the Cauchy problem will blow up in finite time by using the method of characteristic decomposition,i.e.,the shock wave occurs.Secondly,we demonstrate the shock wave solution's existence,uniqueness,and stability using the self-similar viscosity vanishing approach.Moreover,some representative numerical simulations are given.
关键词
色谱方程组/激波/特征分解/自相似粘性消失法Key words
chromatography equations/shock wave/characteristic decomposition/self-similar viscosity vanishing approach引用本文复制引用
出版年
2024
NETL
NSTL
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