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Zero-Viscosity Limit of the Navier–Stokes Equations in a Simply-Connected Bounded Domain Under the Analytic Setting
Journal of Mathematical Fluid Mechanics ( IF 1.3 ) Pub Date : 2019-12-26 , DOI: 10.1007/s00021-019-0471-0
Chao Wang , Yuxi Wang

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.

中文翻译:

解析设置下简单连接有界域中的Navier–Stokes方程的零粘度极限

在本文中,我们考虑了具有防滑边界条件的简单连接有界域中二维Navier–Stokes方程的零粘度极限。基于能量的方法,王等。(Arch Ration Mech Anal 224(2):555–595,2017),我们证明了在分析设置下零粘度极限的合理性。
更新日期:2019-12-26
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