Bifurcation behavior of laminar flows of a boundary layer problem

This paper presents a theoretical analysis on the bifurcation behavior of solutions to a nonlinear equation f”'– ff” 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.