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

Author

Listed:
  • Aiju Wang
  • Wangxun Yu
  • Yanyan Zhang
  • Ahmed Zeeshan

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.

Suggested Citation

  • Aiju Wang & Wangxun Yu & Yanyan Zhang & Ahmed Zeeshan, 2022. "The Interaction of Waves in the Zero-Pressure Euler Equations with a Coulomb-Like Friction Term," Mathematical Problems in Engineering, Hindawi, vol. 2022, pages 1-6, February.
    • Handle: RePEc:hin:jnlmpe:4837968
    DOI: 10.1155/2022/4837968
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