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Abu-Sitta, A. M. M.

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

Appl. Math. Comput. 64, No. 1, 73-77 (1994).
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.
Reviewer: T.Bokareva (Taganrog)

Cited in 14 Documents

MSC:

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

Keywords:

incompressible boundary-layer flow; asymptotic behavior of solutions; initial value problem; boundary condition; Blasius solutions; flow past a flat plane; Weyl technique
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\textit{A. M. M. Abu-Sitta}, Appl. Math. Comput. 64, No. 1, 73--77 (1994; Zbl 0811.34013)
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References:

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