TY - JOUR

T1 - Nonexistence for the "missing" similarity boundary-layer flow

AU - Paullet, Joseph Edward

N1 - Publisher Copyright:
© 2014, Tsing Hua University. All rights reserved.

PY - 2014

Y1 - 2014

N2 - 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,.

AB - 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,.

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M3 - Article

AN - SCOPUS:84908273133

SN - 1607-2510

VL - 14

SP - 123

EP - 126

JO - Applied Mathematics E - Notes

JF - Applied Mathematics E - Notes

ER -