Abstract
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,.
subject to.
ϕ(0) = 1 and ϕ(∞) = 0,.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 123-126 |
| Number of pages | 4 |
| Journal | Applied Mathematics E - Notes |
| Volume | 14 |
| State | Published - 2014 |
All Science Journal Classification (ASJC) codes
- Applied Mathematics