GLOBAL SOLUTIONS OF THE PERTURBED RIEMANN PROBLEM FOR THE CHROMATOGRAPHY EQUATIONS

被引：3
|
作者：
Zhang, Ting [1 ]
Sheng, Wancheng [1 ]
机构：
[1] Shanghai Univ, Coll Sci, Dept Math, Shanghai 200444, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2019年 / 39卷 / 01期
关键词：
Riemann problem; chromatography equation; wave interactions; Temple class; hyperbolic conservation laws; DELTA SHOCK-WAVES; L-INFINITY SOLUTIONS; CONSERVATION-LAWS; HYPERBOLIC SYSTEMS; STABILITY; UNIQUENESS;
D O I：
10.1007/s10473-019-0106-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The Riemann problem for the chromatography equations in a conservative form is considered. The global solution is obtained under the assumptions that the initial data are taken to be three piecewise constant states. The wave interaction problems are discussed in detail during the process of constructing global solutions to the perturbed Riemann problem. In addition, it can be observed that the Riemann solutions are stable under small perturbations of the Riemann initial data.
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页码：57 / 82
页数：26
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