Zero-Viscosity Limit of the Navier–Stokes Equations in a Simply-Connected Bounded Domain Under the Analytic Setting
Zero-Viscosity Limit of the Navier–Stokes Equations in a Simply-Connected Bounded Domain Under the Analytic Setting
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DOI：
10.1007/s00021-019-0471-0
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发表时间：
2019-12
影响因子：
1.3
通讯作者：
Chao Wang;Yuxi Wang
中科院分区：
文献类型：
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作者：
Chao Wang;Yuxi Wang
本文考虑了具有无滑移边界条件的单连通有界区域上二维Navier-Stokes方程的零黏度极限。基于Wang et al. （Arch Ration mechanics, 224(2): 555-595, 2017）的能量法，我们证明了在解析设置下的零粘度极限。
In this paper, we consider the zero-viscosity limit of the 2-D Navier–Stokes equations in a simply-connected bounded domain with non-slip boundary condition. Based on the energy method in Wang et al. (Arch Ration Mech Anal 224(2):555–595, 2017), we justify the zero-viscosity limit under the analytic setting.