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Volume 13,     Number 4,     Winter 2005

 

SIMILARITY SOLUTIONS AND EVOLUTION
OF WEAK DISCONTINUITIES
IN A VAN DER WAALS GAS
RAJAN ARORA

Abstract. The basic equations, governing the unsteady one-dimensional axisymmetric motion in a Van der Waals gas, are considered. Using the Invariance group properties of the original system, the new autonomous system is found. The propagation of weak discontinuities is considered in the known particular solution of the autonomous system. The critical time, when these weak discontinuities culminate into a shock, is also determined for an ideal gas.

 

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© 2005, Canadian Applied Mathematics Quarterly (CAMQ)