Title: Global smooth solutions to Euler equations for a perfect gas

Authors: Magali Grassin

Issue: Volume 47 (1998), Issue 4, 1397-1432

Abstract: We consider Euler equations for a perfect gas in $\mathbb{R}^d$, where $d \geq 1$. We state that global smooth solutions exist under the hypotheses (H1)-(H3) on the initial data. We choose a small smooth initial density, and a smooth enough initial velocity which forces particles to spread out. We also show a result of global in time uniqueness for these global solutions.