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2018 A Deposition Model: Riemann Problem and Flux-Function Limits of Solutions
Hongjun Cheng, Shiwei Li
Abstr. Appl. Anal. 2018: 1-14 (2018). DOI: 10.1155/2018/8569435

Abstract

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.

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Hongjun Cheng. Shiwei Li. "A Deposition Model: Riemann Problem and Flux-Function Limits of Solutions." Abstr. Appl. Anal. 2018 1 - 14, 2018. https://doi.org/10.1155/2018/8569435

Information

Received: 23 January 2018; Accepted: 3 April 2018; Published: 2018
First available in Project Euclid: 13 June 2018

zbMATH: 06929595
MathSciNet: MR3804853
Digital Object Identifier: 10.1155/2018/8569435

Rights: Copyright © 2018 Hindawi

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