Non-relativistic limits of contact discontinuities to 1-D piston problem for the relativistic full Euler system

Abstract

This paper is contributed to the 1-D piston problem for the compressible relativistic full Euler system. Given some small BV perturbations of both the piston velocity and the initial state, we establish the structural stability of a contact discontinuity when the piston moves relatively still to the gas. We also consider the non-relativistic limits of such entropy solutions to piston problem as the light speed c→+∞. Moreover, we study the long time behavior of these solutions as t→+∞.