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Convergence rates for the stationary and non-stationary Navier-Stokes equations over non-Lipschitz boundaries

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成果类型:
期刊论文
作者:
Zhang, Yiping
通讯作者:
Zhang, YP
作者机构:
[Zhang, Yiping; Zhang, YP] Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
[Zhang, Yiping; Zhang, YP] Cent China Normal Univ, Key Lab Nonlinear Anal & Applicat, Minist Educ, Wuhan 430079, Peoples R China.
通讯机构:
[Zhang, YP ] C
Cent China Normal Univ, Sch Math & Stat, Wuhan 430079, Peoples R China.
Cent China Normal Univ, Key Lab Nonlinear Anal & Applicat, Minist Educ, Wuhan 430079, Peoples R China.
语种:
英文
期刊:
Journal of Mathematical Physics
ISSN:
0022-2488
年:
2024
卷:
65
期:
3
页码:
031506
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
In this paper, we consider the convergence rates for the 2D stationary and non-stationary Navier-Stokes Equations over highly oscillating periodic bumpy John domains with C-2 regularity in some neighborhood of the boundary point (0,0). For the stationary case, using the variational equation satisfied by the solution and the correctors for the bumpy John domains obtained by Higaki and Zhuge [Arch. Ration. Mech. Anal. 247(4), 66 (2023)] after correcting the values on the inflow/outflow boundaries ({0} boolean OR {1}) x (0, 1), we can obtain an O(epsilon(3/2)) approximation in L-2 for the velocit...

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