2006/01/16 by Bernard Brighi, B. Brighi, Brighi, B. +3
Engineering · Mathematics · #34B15 #34C1 #76D10 #Classical Analysis and ODEs (math.CA) #Differential Equations and Numerical Methods #FOS: Mathematics #Nanofluid Flow and Heat Transfer #Nonlinear Partial Differential Equations #math.CA #msc:34B15 #msc:34C1 #msc:76D10
paper · pdf · doi:10.48550/arxiv.math/0601385
openalex publication_date 2006/01/16 · arxiv created 2006/01/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this paper we are concerned with the solutions of the differential equation f'''+ff''+g(f')=0 on [0,∞), satisfying the boundary conditions f(0)=α, f'(0)=β≥ 0, f'(∞)=ł, and where g is some given continuous function. This general boundary value problem includes the Falkner-Skan case, and can be applied, for example, to free or mixed convection in porous medium, or flow adjacent to stretching walls in the context of boundary layer approximation. Under some assumptions on the function g, we prove existence and uniqueness of a concave or a convex solution. We also give some results about nonexistence and asymptotic behaviour of the solution.