  This paper identifies a new pathology that can be found for numerical
simulations of nonlinear conservation law systems. Many of the difficulties
already identified in the literature (rarefaction shocks, carbuncle phenomena,
slowly moving shocks, wall heating, etc) can be traced to insufficient
numerical dissipation, and the current case is no different. However, the
details of the case we study here are somewhat unique in that the solution
which is found by the numerics is very weak and can fail to have a derivative
anywhere in the post-shock region.

Numerical Analysis;Computational Physics