Existence of global L-P solutions to a system of conservation laws in chromatography with geometry effects

Affiliation of Author(s):理学院

Journal:NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS

Key Words:Conservation laws Chromatography system L-P solutions Viscosity method Compensated compactness

Abstract:In this paper, we give the global existence of L-P bounded entropy solutions for the Cauchy problem of a system of conservation laws in chromatography with geometry effects. The main difficulty lies in establishing the L-P estimate of the viscosity solutions because the initial data may not be L-infinity bounded and the principle of invariant regions developed by Conley-Chuey-Smoller is invalid here. We obtain the existence of the global weak solutions using the compensated compactness method and BV estimates on viscosity solutions. (C) 2018 Elsevier Ltd. All rights reserved.

ISSN No.:1468-1218

Translation or Not:no

Date of Publication:2018-08-01

Co-author:刘树君,wzj

Correspondence Author:cfq,wzj

Date of Publication:2018-08-01