Global Existence of Weak Solutions for Compresssible Navier—Stokes—Fourier Equations with the Truncated Virial Pressure Law

Abstract This paper concerns the existence of global weak solutions á la Leray for compressible Navier–Stokes–Fourier systems with periodic boundary conditions and truncated virial pressure law which is assumed to be thermodynamically unstable. More precisely, main novelty that not monotone respect density. provides first result Navier-Stokes-Fourier system such kind strongly used as a generalization perfect gas law. The based on new construction approximate through an iterative scheme fixed point procedure could very helpful design efficient numerical schemes. Note our method involves recent by authors published in Nonlinearity (2021) compactness density when temperature given.