Global smooth solutions to Euler equations for a perfect gas

Authors
Grassin, M
Citation
M. Grassin, Global smooth solutions to Euler equations for a perfect gas, INDI MATH J, 47(4), 1998, pp. 1397-1432
Citations number
7
Categorie Soggetti
Mathematics
Journal title
INDIANA UNIVERSITY MATHEMATICS JOURNAL
ISSN journal
00222518 → ACNP
Volume
47
Issue
4
Year of publication
1998
Pages
1397 - 1432
Database
ISI
SICI code
0022-2518(199824)47:4<1397:GSSTEE>2.0.ZU;2-F
Abstract
We consider Euler equations for a perfect gas in R-d, where d greater than or equal to 1. We state that global smooth solutions exist under the hypoth eses (H1)-(H3) on the initial data. We choose a small smooth initial densit y, and a smooth enough initial velocity which forces particles to spread ou t. We also show a result of global in time uniqueness for these global solu tions.