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Dynamique des gaz à masse totale finie. (Dynamics of gases of finite total mass). (French) Zbl 0708.76110
Summary: After the statement of a local existence theorem for compressible Euler systems, we prove, under the assumption of existence of a smooth global solution, an asymptotic estimate for internal energy. As a corollary, we obtain a result of nonglobal existence of a smooth solution in one space dimension.

MSC:
 76N15 Gas dynamics (general theory) 35Q30 Navier-Stokes equations