Global smooth solutions to Euler equations for a perfect gas Magali Grassin 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. Indiana University Mathematics Journal 1998 text pdf 10.1512/iumj.1998.47.1608 10.1512/iumj.1998.47.1608 en Indiana Univ. Math. J. 47 (1998) 1397 - 1432 state-of-the-art mathematics http://iumj.org/access/