Existence of globally bounded continuous solutions for nonisentropic gas dynamics equations

In this paper, we study the existence of globally bounded continuous solutions for the nonisentropic gas dynamics equations. Under some conditions on the initial data and the entropy function, we prove some existence theorems for the Cauchy problems and initial boundary value problems. The sufficient conditions obtained here improve those obtained in the previous works because they are less restricted and the initial data are uniformly bounded. © 1997 Academic Press.