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arXiv · 1804.04027

Concentration in flux-function limits of solutions to a deposition model

Hongjun Cheng·Shiwei Li
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Abstract

This paper is concerned with a singular flux-function limit of the Riemann solutions to a deposition model. As a result, it is shown that the Riemann solutions to the deposition model just converge to the corresponding Riemann solutions to the limit system, which is one of typical models admitting delta-shocks. Especially, the phenomenon of concentration and the formation of delta-shocks in the limit are analyzed in detail, and the process of concentration is numerically simulated.

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Hongjun Cheng, Shiwei Li. 2018-04-11. Concentration in flux-function limits of solutions to a deposition model. https://arxiv.org/abs/1804.04027

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