Journal of Physical Studies 10(3), 182–186 (2006)
DOI: https://doi.org/10.30970/jps.10.182

ULTRA-RELATIVISTIC RADIAL EXPANSION OF PERFECT FLUID WITH SHOCK WAVES

V. I. Zhdanov, M. S. Borshch

National Taras Shevchenko University of Kyiv

We obtain approximate general solutions of hydrodynamical equations, which describe spherical or cylindrical expansion of perfect fluid with shock waves in ultra-relativistic limit. The equation of state is $p=k(ε-ρ)$, $ε$ is the energy density and $ρ$ is the baryon mass density. The solutions involve functional degrees of freedom inherent in partial differential equations. Internal shock wave between two domains of ultra-relativistic flow and external shock propagating into a static medium are considered.

PACS number(s): 47.75.+f, 98.70.Rz

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