Stability of Spherically Symmetric Subsonic Flows and Transonic Shocks under Multidimensional Perturbations

Stability of Spherically Symmetric Subsonic Flows and Transonic Shocks under Multidimensional Perturbations
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多维扰动下球对称亚音速流和跨音速激波的稳定性

DOI:
10.1016/j.aim.2016.01.002
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发表时间:
2016
影响因子:
1.7
通讯作者:
Hairong Yuan
Hairong Yuan
中科院分区:
数学1区
文献类型:
--
作者:
Li Liu;Gang Xu;Hairong Yuan

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本文发展了一种在一般乘积黎曼流形上分解亚音速椭圆-双曲复合混合型三维定常可压Euler方程组的方法。应用该方法研究了多维边界条件扰动下R3空间球对称亚音速流和跨音速激波的稳定性。
We develop a method that works in general product Riemannian manifold to decompose the three-dimensional steady full compressible Euler system, which is of elliptic–hyperbolic composite-mixed type for subsonic flows. The method is applied to show stability of spherically symmetric subsonic flows and transonic shocks in space R 3 under multidimensional perturbations of boundary conditions.