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We are concerned with global steady subsonic flows through general infinitelylong nozzles for the full Euler equations. The problem is formulated as aboundary value problem in the unbounded domain for a nonlinear ellipticequation of second order in terms of the stream function. It is establishedthat, when the oscillation of the entropy and Bernoulli functions at theupstream is sufficiently small in $C^{1,1}$ and the mass flux is in a suitableregime, there exists a unique global subsonic solution in a suitable class ofgeneral nozzles. The assumptions are required to prevent from the occurrence ofsupersonic bubbles inside the nozzles. The asymptotic behavior of subsonicflows at the downstream and upstream, as well as the critical mass flux, havebeen clarified.

Global Steady Subsonic Flows through Infinitely Long Nozzles for the Full Euler Equations