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
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10.1512/iumj.1998.47.1608
10.1512/iumj.1998.47.1608
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Indiana Univ. Math. J. 47 (1998) 1397 - 1432
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