On a differential equation of boundary-layer theory
- 8 September 1960
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences
- Vol. 253 (1023), 101-136
- https://doi.org/10.1098/rsta.1960.0019
Abstract
The differential equation y$^{\prime \prime \prime}$ + yy$^{\prime \prime}$ + $\lambda $(1 - y$^{\prime 2}$) = 0 is of importance in boundary-layer theory. H. Weyl has shown that the equation has a solution which satisfies certain boundary conditions. The present paper gives a simple proof of Weyl's result and then investigates in detail the properties of all solutions of the equation.Keywords
This publication has 4 references indexed in Scilit:
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- On the Differential Equations of the Simplest Boundary-Layer ProblemsAnnals of Mathematics, 1942
- On an equation occurring in Falkner and Skan's approximate treatment of the equations of the boundary layerMathematical Proceedings of the Cambridge Philosophical Society, 1937
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