Existence of global Lp solutions to a system of conservation laws in chromatography with geometry effects

Publication date: August 2018 Source:Nonlinear Analysis: Real World Applications, Volume 42 Author(s): Shujun Liu, Fangqi Chen, Zejun Wang 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 ∞ 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.

Source: Nonlinear Analysis: Real World Applications - February 23, 2018 Category: Research Source Type: research