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arXiv 1804.04027math.AP
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沉积模型解的通量函数极限浓度

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

Hongjun Cheng, Shiwei Li

摘要:

本文讨论了一个沉积模型的黎曼解的奇异流函数极限。结果表明,沉积模型的Riemann解恰好收敛于极限系统的Riemann解,这是一个典型的允许δ激波的模型。特别是对极限状态下的集中现象和三角激波的形成进行了详细的分析,并对集中过程进行了数值模拟。

英文摘要:

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.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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