Hopf bifurcation in viscous incompressible flow down an inclined plane

被引：13

作者：

Nishida, T ^{[1
]}

Teramoto, Y

Yoshihara, H

机构：

[1] Kyoto Univ, Fac Sci, Dept Math, Sakyo Ku, Kyoto 6068502, Japan

[2] Setsunan Univ, Fac Engn, Dept Math & Phys, Neyagawa, Osaka 5728508, Japan

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2005年 / 7卷 / 01期

关键词：

Hopf bifurcation; flow down an inclined plane; Lyapunov-Schmidt decomposition;

D O I：

10.1007/s00021-004-0104-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide the Hopf bifurcation theorem, which guarantees the existence of time periodic solution bifurcating from the stationary flow down an inclined plane under certain assumptions on the eigenvalues of the problem obtained by linearization around the stationary flow. Since we reduce the problem to the fixed domain, the inhomogeneous terms of reduced equations and reduced boundary conditions contain the highest derivatives. To deal with these we apply the Lyapunov-Schmidt decomposition directly.

引用

页码：29 / 71

页数：43

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