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The uniqueness of the asymmetric jet flow
Journal of Differential Equations ( IF 2.4 ) Pub Date : 2020-08-01 , DOI: 10.1016/j.jde.2020.03.010
Jianfeng Cheng , Lili Du , Yongfu Wang

Abstract In the previous significant works by Alt et al. (1982) [2] and Alt et al. (1985) [6] , the existence of the two-dimensional asymmetric incompressible jet flow and compressible subsonic jet flow were established. However, the uniqueness of the asymmetric jet flow has remained an unsolved open problem. In this paper, we will establish the uniqueness of asymmetric jet flow not only for incompressible case but also for compressible subsonic case. Furthermore, as a byproduct, some properties of the jet flow are obtained, such as the location estimate and asymptotic deflection angle estimate of the jet in far field. Finally, a comparison theorem will be introduced to compressible subsonic jet flow.

中文翻译:

非对称射流的独特性

摘要 在 Alt 等人之前的重要著作中。(1982) [2] 和 Alt 等人。(1985) [6] 建立了二维非对称不可压缩射流和可压缩亚音速射流的存在性。然而,非对称射流的独特性仍然是一个未解决的开放问题。在本文中,我们将建立非对称射流的唯一性,不仅适用于不可压缩的情况,而且适用于可压缩的亚音速情况。此外,作为副产品,获得了射流的一些特性,例如远场射流的位置估计和渐近偏转角估计。最后,将比较定理引入可压缩亚音速射流。
更新日期:2020-08-01
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