### Scale Invariance of the Homentropic Inviscid Euler Equations with Application to the Noh Problem. (arXiv:1911.08069v1 [math.AP])

We investigate the inviscid compressible flow (Euler) equations constrained by an equation of state (EOS) whose functional form is an arbitrary function of density. Under the aforementioned condition, we interrogate the scale-invariance of the inviscid Euler equations using symmetry methods. We find that under general conditions, we can reduce the inviscid Euler equations into a…