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 $t\to \infty$.

Anexos:

• RHD5.pdf