带有Riemann初值简化色谱方程组的初边值问题

Initial Boundary Value Problem of Simplified Chromatography Equations with Riemannian Initial Value

用熵流对和黏性消失法讨论简化色谱方程组的边界熵不等式问题.首先,通过判断色谱方程组初值问题的解是否满足边界熵不等式,给出基本波在边界上相互作用的情况,进而给出色谱方程组初边值问题的全局解;其次,利用数值模拟方法验证初边值问题理论分析的正确性.

The boundary entropy inequality problem of simplified chromatography equation was discussed by using entropy flux pair and the viscosity vanishing method.Firstly,by judging whether the solutions of the initial value problem of the chromatography equation satisfied the boundary entropy inequality,we gave the interaction of the elementary waves on the boundary,and then gave the global solutions for the initial boundary value problem of the chromatography equation.Secondly,the correctness of the theoretical analysis for the initial boundary value problem was verified by numerical simulation.