On the global existence and stability of 3-D viscous cylindrical circulatory flows
On the global existence and stability of 3-D viscous cylindrical circulatory flows
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DOI：
10.57262/die/1554256870
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发表时间：
2017-06
影响因子：
1.4
通讯作者：
Huicheng Yin;Lin Zhang
中科院分区：
文献类型：
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作者：
Huicheng Yin;Lin Zhang
本文研究了三维粘性扰动绕无限长圆柱环流的整体解的存在性和稳定性。该流动由3-D可压缩Navier-Stokes方程描述。通过引入适当的加权能量空间和建立先验估计，我们证明了当相应的初始状态扰动适当小时，三维圆柱对称循环流在时间上是全局稳定的.
In this paper, we are concerned with the global existence and stability of a 3-D perturbed viscous circulatory flow around an infinite long cylinder. This flow is described by 3-D compressible Navier-Stokes equations. By introducing some suitably weighted energy spaces and establishing a priori estimates, we show that the 3-D cylindrical symmetric circulatory flow is globally stable in time when the corresponding initial states are perturbed suitably small.