Bifurcation behavior of laminar flows of a boundary layer problem

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.

关键词： Laminar flows Bifurcation Boundary Value Problem,Plasius equation

作者: Chun-qing Lu

作者单位: Department of Mathematics and Statistics,Southern Illinois University Edwardsville Edwardsville,IL62026,USA

会议类型: 国际会议

会议名称: 9th International Conference on Hydrodynamics(第九届国际水动力学会议 ICHD2010)

会议地点: 上海

会议语种:英文

页码: 61-66

在线出版日期: 2010-10-11（万方平台首次上网日期，不代表论文的发表时间）