Instability of a Square Eddy Flow and the Existence of Secondary Steady-State Flow

被引：0

作者：

Chen, Zhi-Min ^{[1
]}

机构：

[1] Shenzhen Univ, Sch Math & Stat, Shenzhen 518060, Peoples R China

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2022年 / 24卷 / 04期

关键词：

Steady-state bifurcation; Plane vortex flow; Non-parallel flow; Incompressible Navier-Stokes equations; Merging of vortices; LINEAR-ARRAY;

D O I：

10.1007/s00021-022-00726-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For N odd, a plane non-parallel Navier-Stokes flow in a square fluid domain exhibits N x N alternative vortices. The spectral problem linearized around the flow shows the occurrence of critical real spectral solutions, which lead to the existence of secondary steady-state flows bifurcating from the non-parallel flow.

引用

页数：15

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