Well‐posedness of reynolds averaged equations for compressible fluids with a vanishing pressure

Abstract

We show that the Reynolds averaged equations for compressible fluids (neglecting third order correlations) are well‐posed in when the pressure vanishes in dimensions and 3. In order to do this, we show that the system is Friedrichs‐symmetrizable. This model belongs to the class of non‐conservative hyperbolic systems. Hence the usual symmetrisation method for conservation laws can not be used here.