  Extending to systems of hyperbolic--parabolic conservation laws results of
Howard and Zumbrun for strictly parabolic systems, we show for viscous shock
profiles of arbitrary amplitude and type that necessary spectral (Evans
function) conditions for linearized stability established by Mascia and Zumbrun
are also sufficient for linearized and nonlinear phase-asymptotic stability,
yielding detailed pointwise estimates and sharp rates of convergence in $L^p$,
$1\le p\le \infty$.
