Geodesic
A Note on the Existence of a Solution of the Falkner-Skan Equation
Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 125-127

Voir la notice de l'article provenant de la source Cambridge University Press

We are concerned with the existence proof of solution of the Falkner-Skan equation 1 subject to boundary conditions 2 The first existence and uniqueness proof based on a fixed point theorem was given by Weyl [4] in 1942, with the added assumption that f' > 0. In 1960, Coppel [1] proved the existence (and uniqueness with the assumption 0 < f' < 1) by considering trajectories in the three-dimensional phase space. 
Tam, K. Kuen. A Note on the Existence of a Solution of the Falkner-Skan Equation. Canadian mathematical bulletin, Tome 13 (1970) no. 1, pp. 125-127. doi: 10.4153/CMB-1970-026-8
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[1] 1. Coppel, W. A., On a differential equation of boundary layer theory, Proc. Cambridge Phil. Soc. Series A 253 (1960), 101-136. Google Scholar

[2] 2. Ho, D. and Wilson, H. K., On the existence of a similarity solution for a compressible boundary layer, Arch. Rational Mech. Anal. 27 (1967), 165-174. Google Scholar

[3] 3. McLeod, J. B. and Serrin, J., The existence of similar solutions for laminar boundary layer problems, Arch. Rational Mech. Anal. 31 (1968), 288-303. Google Scholar

[4] 4. Weyl, H., On the differential equations of the simplest boundary layer problems, Ann. Math. 43 (1942), 381-407. Google Scholar

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