Formation of singularities for one-dimensional relaxed compressible Navier-Stokes equations

We investigate the formation of singularities in one-dimensional hyperbolic compressible Navier-Stokes equations, a model proposing relaxation leading to hyperbolization through nonlinear Cattaneo law for heat conduction as well constitutive Maxwell type relations stress tensor. By using entropy dissipation inequality, which gives lower energy estimates local solutions without any smallness condition on initial data, and by constructing some useful averaged quantities we show that there are general no global C1 studied system with large data. This appears remarkable contrast situation relaxation, i.e. classical where exist. It also contrasts fact linearized associated resp. relaxed qualitative behavior is exactly same: exponential stability bounded domains polynomial decay loss regularity Cauchy problem.