The Interaction of Waves in the Zero-Pressure Euler Equations with a Coulomb-Like Friction Term

Aiju Wang, Wangxun Yu, Yanyan Zhang and Ahmed Zeeshan

Mathematical Problems in Engineering, 2022, vol. 2022, 1-6

Abstract: In this study, the interaction of waves in the zero-pressure Euler equations with a Coulomb-like friction term is considered, which is equivalent to the Riemann problem with three constant initial states for the zero-pressure Euler equations. By solving generalized Rankine–Hugoniot relations under suitable entropy conditions, four different structures of explicit solutions are obtained uniquely, in which the interactions among contact discontinuity, vacuum, and delta shock are presented.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlmpe:4837968

DOI: 10.1155/2022/4837968

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