AN EXTENSION OF SOME SOLUTIONS OF THE FALKNER-SKAN EQUATION

Abstract

The differential equation φ^'''+φφ^''+α (〖φ^'〗^2-1)=0 where α>0 is appeared for studying the boundary layer flow past a semi infinitewedge. As a means to prove the existence of solutions verifying (0)=a≥√(1/(1-α)) , φ^' (0)=b≥0 and φ^' (t)→1 or-1 as t→+∞ for 0<α<1. We utilize shooting technique and consider the initial conditions φ (0) =a, φ'(0) =b and φ’’ (0)=c. We demonstrate that there exists an infinitely many solutions where φ'(+∞) =1.