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Interactions of Delta Shock Waves for Zero-Pressure Gas Dynamics with Energy Conservation Law

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  • Wei Cai
  • Yanyan Zhang

Abstract

We study the interactions of delta shock waves and vacuum states for the system of conservation laws of mass, momentum, and energy in zero-pressure gas dynamics. The Riemann problems with initial data of three piecewise constant states are solved case by case, and four different configurations of Riemann solutions are constructed. Furthermore, the numerical simulations completely coinciding with theoretical analysis are shown.

Suggested Citation

  • Wei Cai & Yanyan Zhang, 2016. "Interactions of Delta Shock Waves for Zero-Pressure Gas Dynamics with Energy Conservation Law," Advances in Mathematical Physics, Hindawi, vol. 2016, pages 1-12, June.
    • Handle: RePEc:hin:jnlamp:1783689
    DOI: 10.1155/2016/1783689
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