Existence of Steady Subsonic Euler Flows through Infinitely Long Periodic Nozzles

2011/01/31 by Chen, Chao, Xie, Chunjing
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1101.6010

Abstract

In this paper, we study the global existence of steady subsonic Euler flows through infinitely long nozzles which are periodic in x₁ direction with the period L. It is shown that when the variation of Bernoulli function at some given section is small and mass flux is in a suitable regime, there exists a unique global subsonic flow in the nozzle. Furthermore, the flow is also periodic in x₁ direction with the period L. If, in particular, the Bernoulli function is a constant, we also get the existence of subsonic-sonic flows when the mass flux takes the critical value.

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