A Deposition Model: Riemann Problem and Flux-Function Limits of Solutions

作者：Hongjun, Cheng; Shiwei, Li

来源：Abstract and Applied Analysis, 2018, 2018: 1-14.

DOI：10.1155/2018/8569435

<jats:p>The Riemann solutions of a deposition model are shown. A singular flux-function limit of the obtained Riemann solutions is considered. As a result, it is shown that the Riemann solutions of the deposition model just converge to the Riemann solutions of the limit system, the scalar conservation law with a linear flux function involving discontinuous coefficient. Especially, for some initial data, the two-shock Riemann solution of the deposition model tends to the delta-shock Riemann solution of the limit system; by contrast, for some initial data, the two-rarefaction-wave Riemann solution of the deposition model tends to the vacuum Riemann solution of the limit system. Some numerical results exhibiting the formation processes of delta-shocks and vacuum states are presented.</jats:p>

• 出版日期2018
• 单位云南大学