  The asymptotic stability of rarefaction wave for 1-d relaxed compressible
isentropic Navier-Stokes equations is established. For initial data with
different far-field values, we show that there exists a unique global in time
solution. Moreover, as time goes to infinity, the obtained solutions are shown
to converge uniformly to rarefaction wave solution of $p$-system with
corresponding Riemann initial data. The proof is based on $L^2$ energy methods.
