Non-relativistic limits and stability of composite wave patterns to the relativistic Euler equations

We are concerned with the structural stability of composite wave patterns to the Cauchy problem for the relativistic full Euler equations consisting of a large 1-shock, a large 2-contact discontinuity, and a large 3-shock. When the initial data are bounded but possibly large total variations, approximate solutions have been constructed via the wave front tracking scheme, a weighted Glimm functional has been introduced and its monotonicity has been proved on the basis of the local wave interaction estimates, and then the global stability of these wave patterns has been established. Moreover, the non-relativistic limits of such solutions can be obtained as the light speed c -> +infinity.& nbsp;