The purpose of this paper is to study the autonomous third order nonlinear differential equation on , subject to the boundary conditions and as . This problem arises when looking for similarity solutions to problems of boundary-layer theory in some contexts of fluids mechanics, as free convection in porous medium or flow adjacent to a stretching wall. Our goal here is to investigate by a direct approach this boundary value problem as completely as possible, say studying existence or non-existence and uniqueness or non-uniqueness of solutions according to the values of the real parameter m. In particular, we will emphasize similarities and differences between the cases and in the boundary condition .
Cite this article
B. Brighi, On a Similarity Boundary Layer Equation. Z. Anal. Anwend. 21 (2002), no. 4, pp. 931–948DOI 10.4171/ZAA/1118