Elsevier

Applied Mathematics Letters

Volume 25, Issue 2, February 2012, Pages 153-156
Applied Mathematics Letters

Note on the uniqueness of subsonic Euler flows in an axisymmetric nozzle

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Abstract

In this paper, we consider the uniqueness of globally subsonic compressible flows through an infinitely long axisymmetric nozzle. The flow is governed by the steady Euler equations and satisfies no-flow boundary conditions on the nozzle walls. We will show that for given mass flux and Bernoulli’s function in the upstream, the subsonic flow is unique in the class of all axisymmetric solutions, which possess the asymptotic behaviors at the far fields. This result extends the uniqueness of solutions in the previous paper Du and Duan (2011) [1].

Keywords

Uniqueness
Subsonic flows
Steady Euler equations
Axisymmetric nozzle

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This work is supported by NNSF of China (No. 10801055), SRFDP (No. 200805611026), Zheng Ge Ru Foundation, Hong Kong RGC Earmarked Research Grants CUHK4028/04P, CUHK4040/06P, CUHK 4042/08P, and the RGC Central Allocation Grant CA05/06.SC01.