Journal
ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK
Volume 96, Issue 6, Pages 681-695Publisher
WILEY-V C H VERLAG GMBH
DOI: 10.1002/zamm.201500015
Keywords
Chaplygin gas equations; Riemann problem; delta shock wave; Coulomb-like friction term
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Funding
- National Natural Science Foundation of China [11441002, 11271176]
- Shandong Provincial Natural Science Foundation [ZR2014AM024]
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The Riemann solutions for the one-dimensional Chaplygin gas equations with a Coulomb-like friction term are constructed explicitly. It is shown that the delta shock wave appears in the Riemann solutions in some certain situations. The generalized Rankine-Hugoniot conditions of delta shock wave are established and the position, propagation speed and strength of delta shock wave are given, which enables us to see the influence of Coulomb-like friction term on the Riemann solutions for the Chaplygin gas equations clearly. In addition, the relations connected with the area transportation are derived which include mass and momentum transportation. (C) 2015 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim
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