Non-hyperbolicity of the inviscid Cattaneo–Christov system for compressible fluid flow in several space dimensions

Summary We consider the coupling between equations of motion a compressible fluid in two and three space dimensions with Christov’s equation for heat flux. is frame indifferent formulation classical model Cattaneo that allows flux to be eliminated obtain single hyperbolic temperature. The obtained system written quasilinear form state variables density, velocity, temperature It then shown this not type as consequence presence Lie–Oldroyd upper-convected material derivative involved formulation.