Global Multidimensional Transonic Conic Shock Wave for the Perturbed Supersonic Flow Past a Cone
Global Multidimensional Transonic Conic Shock Wave for the Perturbed Supersonic Flow Past a Cone
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DOI：
10.1137/080712933
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发表时间：
2009
期刊：
影响因子：
--
通讯作者：
Gang Xu;Huicheng Yin
中科院分区：
文献类型：
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作者：
Gang Xu;Huicheng Yin
对于三维定常势流方程，在文献[Z.Xin，H.Yen，Anal.在文[Appl.，(Singap.)，4(2006)，pp.101-132]中，作者证明了在圆锥面上适当的边界条件下，超音速来流通过尖锥时，多维超音速圆锥激波的整体存在性和稳定性。在本文中，我们将建立定常摄动超音速绕过无限长圆锥体的多维跨音速圆锥激波的整体存在性和稳定性，当圆锥激波后无限远处的压力适当大时。
For the three-dimensional steady potential flow equation, in the reference [Z. Xin and H. Yin,Anal. Appl., (Singap.), 4 (2006), pp. 101–132], the authors have shown the global existence and stability of a multidimensional supersonic conic shock for the supersonic incoming flow past a sharp curved cone under the suitable boundary condition on the conic surface. In this paper, we will establish the global existence and stability of a multidimensional transonic conic shock wave for the steady perturbed supersonic flow past an infinitely long conic body when the pressure at infinity behind the conic shock surface is appropriately large.