Preprint A239/2003
Spatially Periodic Solutions in Relativistic Isentropic Gas Dynamics

Mikhail Perepelitsa | Frid, Hermano

**Keywords: **
relativistic gas dynamics | Glimm's scheme | periodic solutions | decay of periodic solutions | conservation laws

We consider the initial value problem, with periodic initial data, for the Euler equations in relativistic
isentropic gas dynamics, for ideal polytropic gases which obey a constitutive equation, relating pressure $p$ and density $\rho$, $p=\k^2\rho^\g$, with $\g\ge1$,
$0<\k1$, depending on the initial bounds.
The solution decays in $L_{loc}^1$ to its mean value as $t\to \infty$.