Preprint 2005-030

Hyperbolicity and Kinematic Waves of a Class of Multi-Population Partial Differential Equations

P. Zhang, R. X. Liu, S. C. Wong, and S. Q. Dai

Abstract: In this paper we study the fundamental mathematical aspects of a class of multi-population partial differential equations. We thoroughly discuss the hyperbolicity of the system. The admissible waves of the Riemann problem are also investigated in detail. We present some interesting results and interpret their physical meanings. Numerical examples are also given to support our conclusions.

Available as PDF (336 Kbytes).
P. Zhang
R. X. Liu
S. C. Wong
S. Q. Dai
Publishing information:
To appear in European Journal of Applied Mathematics
Submitted by:
<> June 25 2005.

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