Bifurcation behavior of laminar flows of a boundary layer problem

被引：0

作者：

Chun-qing Lu

机构：

[1] Southern Illinois University Edwardsville,Department of Mathematics and Statistics

来源：

Journal of Hydrodynamics | 2010年 / 22卷

关键词：

Laminar flows; Bifurcation; Boundary Value Problem; Plasius equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper presents a theoretical analysis on the bifurcation behavior of solutions to a nonlinear equation f‴ − ff″ = 0 with boundary conditions: f(0) = C, f′(0) = ξ and f′(∞) = 1 where ξ and C are parameters. It shows that if ξ ≥ 0 including the case ξ ≥ 1, then for any C the boundary value problem has at most one solution. However, for any ξ < 0, there exist some C < 0 such that the boundary value problem admits at least two solutions.

引用

页码：61 / 66

页数：5

共 14 条

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[9] Lakin W D(undefined)undefined undefined undefined undefined-undefined
[10] Nachman A(undefined)undefined undefined undefined undefined-undefined

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