Spatially periodic solutions in relativistic isentropic gas dynamics (Q1766911)

The authors consider a Cauchy problem with periodic intial data for the one-dimensional nonlinear hyperbolic system which describes the motion of isentropic relativistic gases. Assuming that the power in the isentropic law is close to one, they prove the existence of global entropy solutions for any periodic initial data of locally bounded total variation satisfying some physical restrictions. This solutions decay as \(t \rightarrow \infty\) to its mean value.