A note on a certain boundary-layer equation. (English) Zbl 0811.34013

The initial value problem for the differential equation \(FF'' + F''' = 0\) is considered. This equation together with the boundary condition \(F(0) = F' = 0\), \(dF/dt \to \alpha\) as \(t \to \infty\), is the equation occurring in Blasius solutions for flow past a flat plane with a straight leading edge. The existence of a solution is established by using Weyl technique.


34B15 Nonlinear boundary value problems for ordinary differential equations
76D10 Boundary-layer theory, separation and reattachment, higher-order effects
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