机构:
Kyoto Univ, Research Inst for, Mathematical Sciences, Kyoto, Jpn, Kyoto Univ, Research Inst for Mathematical Sciences, Kyoto, JpnKyoto Univ, Research Inst for, Mathematical Sciences, Kyoto, Jpn, Kyoto Univ, Research Inst for Mathematical Sciences, Kyoto, Jpn
Gotoh, Kanefusa
[1
]
Yamada, Michio
论文数: 0引用数: 0
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机构:
Kyoto Univ, Research Inst for, Mathematical Sciences, Kyoto, Jpn, Kyoto Univ, Research Inst for Mathematical Sciences, Kyoto, JpnKyoto Univ, Research Inst for, Mathematical Sciences, Kyoto, Jpn, Kyoto Univ, Research Inst for Mathematical Sciences, Kyoto, Jpn
Yamada, Michio
[1
]
机构:
[1] Kyoto Univ, Research Inst for, Mathematical Sciences, Kyoto, Jpn, Kyoto Univ, Research Inst for Mathematical Sciences, Kyoto, Jpn
MATHEMATICAL TECHNIQUES - Eigenvalues and Eigenfunctions;
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摘要:
The theory of the instability of parallel periodic flows is extended to the two-dimensional cellular flows. The eigenvalue equation is derived to find the critical Reynolds number to the disturbance with small Floquet exponents. The theory is applied to the cellular flow: U equals ( minus sin y, sin x) and the critical Reynolds number is found to be (2)** one-half .