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ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW |
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| Authors: | Huang Feimin Wang Tianyi Wang Yong Institute of Applied Mathematics Academy of Mathematics Systems Science Academia Sinica Beijing China |
| Institution: | Huang Feimin Wang Tianyi Wang Yong Institute of Applied Mathematics,Academy of Mathematics and Systems Science,Academia Sinica,Beijing 100190,China |
| Abstract: | In this paper, a compensated compactness framework is established for sonic-subsonic approximate solutions to the n-dimensional (n ≥ 2) Euler equations for steady irrotational flow that may contain stagnation points. This compactness framework holds provided that the approximate solutions are uniformly bounded and satisfy H−1loc (Ω) com pactness conditions. As illustration, we show the existence of sonic-subsonic weak solution to n-dimensional (n ≥ 2) Euler equations for steady irrotational flow past obstacles or through an infinitely long nozzle. This is the first result concerning the sonic-subsonic limit for n-dimension (n ≥ 3). |
| Keywords: | multi-dimension sonic-subsonic flow steady irrotational flow compensated compactness |
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