Singular shocks in a chromatography model

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:439

Article

Tsikkou, Charis¹ 

[1] W Virginia Univ, Dept Math, Morgantown, WV 26506 USA

关键词: Conservation laws;    Singular shock;    Dafermos regularization;    Geometric singular perturbation theory;    Nonhyperbolicity;    Blow-up;   

DOI  :  10.1016/j.jmaa.2016.03.001

来源: Elsevier

【 摘 要 】

We consider a system of two equations that can be used to describe nonlinear chromatography and produce a coherent explanation and description of the unbounded solutions (singular shocks) that appear in Mazzotti's model [21,22]. We use the methods of Geometric Singular Perturbation Theory, to show existence of a viscous solution to Dafermos-DiPerna regularization. (C) 2016 Elsevier Inc. All rights reserved.

【 授权许可】

Free