Delta shock waves in chromatography equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:380

Article

Cheng, Hongjun^1,2  Yang, Hanchun¹ 

[1] Yunnan Univ, Dept Math, Kunming 650091, Peoples R China

[2] Yunnan Univ, Dianchi Coll, Kunming 650228, Peoples R China

关键词: Nonlinear chromatography equations;    Delta shock wave;    Generalized Rankine-Hugoniot relation;    Numerical simulations;   

DOI  :  10.1016/j.jmaa.2011.04.002

来源: Elsevier

【 摘 要 】

The previous investigations on delta shock waves were mostly focused on those with Dirac delta function in only one state variable. In this paper, we obtain another kind from the nonlinear chromatography equations, in which the Dirac delta functions develop simultaneously in both state variables. It is strictly proved to satisfy the system in the sense of distributions. The generalized Rankine-Hugoniot relation and entropy condition are clarified. The numerical results completely coinciding with the theoretical analysis are presented. (C) 2011 Elsevier Inc. All rights reserved.

【 授权许可】

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