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- W2760890908 abstract "ou ρ est la densite, p la pression, u la vitesse et S l’entropie. Ces variables sont reliees par une equation d’etat ρ = R(p, S). On suppose toujours que 1/c2 = ∂R/∂p > 0, c etant la vitesse du son. Par exemple, pour les gaz parfaits, ρ = p1/γe−S/γ . Le nombre de Mach est le rapport u/c, qu’on suppose uniformement petit, d’ordre e. On pose u = ev et on met les echelles de temps et d’espace en accord avec ce choix soit en changeant les longueurs en y = x/e, soit en changeant le temps en s = et. En appelant (p, v, S) les inconnues et (t, x) les nouvelles variables, les equations s’ecrivent A∂tp + v · ∇p + divv = 0 , ρ (∂tv + v · ∇v) + 1 e ∇p = 0 , ∂tS + v · ∇S = 0 ," @default.
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- W2760890908 date "2001-01-01" @default.
- W2760890908 modified "2023-09-23" @default.
- W2760890908 title "Limite incompressible des équations d’Euler non isentropiques" @default.
- W2760890908 hasPublicationYear "2001" @default.
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