Pseudospectral Bound and Transition Threshold for the 3D Kolmogorov Flow
Pseudospectral Bound and Transition Threshold for the 3D Kolmogorov Flow
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DOI：
10.1002/cpa.21863
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发表时间：
2018-01
影响因子：
3
通讯作者：
Te Li;Dongyi Wei;Zhifei Zhang
中科院分区：
文献类型：
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作者：
Te Li;Dongyi Wei;Zhifei Zhang
在本文中，我们研究了 3D Kolmogorov 流周围纳维-斯托克斯方程线性化算子的伪谱界。使用伪谱界和[22]中引入的波算子方法，我们证明了线性化纳维-斯托克斯方程的耗散率急剧增强。作为应用，我们证明如果初速度满足∥U0−kf−2sinkfy,0,0∥H2≤cν7/4
In this paper, we study pseudospectral bounds for the linearized operator of the Navier‐Stokes equations around the 3D Kolmogorov flow. Using the pseudospectral bound and the wave operator method introduced in [22], we prove the sharp enhanced dissipation rate for the linearized Navier‐Stokes equations. As an application, we prove that if the initial velocity satisfies ∥U0−kf−2sinkfy,0,0∥H2≤cν7/4