Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
7222104 | Nonlinear Analysis: Real World Applications | 2018 | 7 Pages |
Abstract
In this paper, we give the global existence of Lp 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 Lp estimate of the viscosity solutions because the initial data may not be Lâ 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.
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Authors
Shujun Liu, Fangqi Chen, Zejun Wang,