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.

中文翻译：

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关于3-D粘性圆柱循环流的整体存在性和稳定性

在本文中，我们关注无限长圆柱周围的3-D扰动粘性循环流的整体存在和稳定性。该流动由3-D可压缩Navier-Stokes方程描述。通过引入一些适当加权的能量空间并建立先验估计，我们证明了当相应的初始状态被适当地扰动得小时，3-D圆柱对称循环流在时间上是全局稳定的。