- Published 2006

This paper is concerned with existence, uniqueness and behavior of the solutions of the autonomous third order nonlinear differential equation f ′′′+(m+ 2) ff ′′−(2m+ 1) f ′2 = 0 on R+ with the boundary conditions f(0) = −γ, f ′ (∞) = 0 and f ′′(0) = −1. This problem arises when looking for similarity solutions for boundary layer flows with prescribed heat flux. To study solutions we use some direct approach as well as blowing-up coordinates to obtain a plane dynamical system.

@inproceedings{Brighi2006OnSS,
title={On similarity solutions for boundary layer flows with prescribed heat flux},
author={Bernard Brighi and JEAN - DAVID HOERNEL},
year={2006}
}