Acta mathematica scientia,Series A ›› 2014, Vol. 34 ›› Issue (5): 1083-1092.

• Articles • Previous Articles     Next Articles

The Riemann Problem with Delta Initial Data for the Zero-Pressure Relativistic Euler Equations Hyperbolic Systems of Conservation Laws

 LI Jian-Ye, SHAO Zhi-Qiang**   

  1. College of Mathematics and Computer Science, Fuzhou University, Fuzhou 350108
  • Received:2013-01-17 Revised:2014-03-25 Online:2014-10-25 Published:2014-10-25
  • Supported by:

    福建省自然科学基金(2012J01006)资助.

Abstract:

In this paper, we solve the Riemann problem with the initial data containing Dirac delta functions for the zero-pressure relativistic Euler hyperbolic systems of conservation laws. With characteristic analysis, under suitably generalized Rankine-Hugoniot relation and entropy condition, we constructively obtain the global generalized solutions that explicitly exhibit four kinds of different structure involving delta shock waves.

Key words: Relativistic Euler equations, Generalized Rankine-Hugoniot relation, Delta shock wave, Linearly degenerate, Entropy condition

CLC Number: 

  • 35L65
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