which arises in certain situations of boundary layer flow. Previous work on the problem established the existence of a λmin ∈ [1; 2/√3] such that solutions exist for λ ≥ λmin. It has been conjectured that for λ < λmin no solution exists. We partially resolve this conjecture by proving that for λ ≤√2/3 ≈:8165 no solution to the boundary value problem exists.
This note considers the boundary value problem.
ϕʺ(η) + λϕʹ(η) + ϕ(η)2 = 0, η ≥ 0, λ > 0,.
ϕ(0) = 1 and ϕ(∞) = 0,.
|Original language||English (US)|
|Number of pages||4|
|Journal||Applied Mathematics E - Notes|
|State||Published - Jan 1 2014|
All Science Journal Classification (ASJC) codes
- Applied Mathematics