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Three dimensional non-isentropic subsonic Euler flows in rectangular nozzles
Institution:1. Department of Mathematics and IMS, Nanjing University, Nanjing 210093, China;2. Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, China;3. School of Mathematical Sciences, Jiangsu Provincial Key Laboratory for Numerical Simulation of Large Scale Complex Systems, Nanjing Normal University, Nanjing 210023, China
Abstract:In this paper, we study the existence and uniqueness of three dimensional non-isentropic subsonic Euler flows in rectangular nozzles. This work is an extension of Chen and Xie’s work on isentropic subsonic Euler flows. If, besides small normal component of vorticity, Bernoulli’s function and entropy function with small variations are given on the entrance, the existence and uniqueness of non-isentropic subsonic Euler flows are established.
Keywords:Non-isentropic gas  Subsonic Euler flows  Vorticity  Streamlines
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