Blow-up of solutions for relaxed compressible Navier–Stokes equations

Abstract

In this paper, we present a blow-up result for large data for relaxed compressible Navier–Stokes models avoiding the possibility of reaching the boundary of hyperbolicity. Thus, a previous result is improved and further examples are given illustrating possible effects of a relaxation and contrasting the classical compressible Navier–Stokes equations without relaxation where solutions for large data exist globally.