On the uniqueness of solutions of the Falkner‐Skan equation

DOI10.1112/S0025579300005052zbMath0259.34023MaRDI QIDQ5676028

A. H. Craven, Lambertus A. Peletier

Publication date: 1972

Published in: Mathematika (Search for Journal in Brave)

Mathematics Subject Classification ID

Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30)

Related Items (14)

The role of periodic solutions in the Falkner-Skan problem for \(\lambda >0\) ⋮ Blasius problem and Falkner-Skan model: Töpfer's algorithm and its extension ⋮ A note on a certain boundary-layer equation ⋮ The velocity and shear stress functions of the Falkner-Skan equation arising in boundary layer theory ⋮ On a generalized Falkner-Skan equation ⋮ MHD oblique stagnation-point flow of a Newtonian fluid ⋮ A random vortex simulation of Falkner-Skan boundary layer flow ⋮ On the generalized Blasius equation ⋮ Branching of the Falkner-Skan solutions for \(\lambda<0\) ⋮ A note on the transformation of boundary value problems to initial value problems: the iterative transformation method ⋮ Nonexistence of the reversed flow solutions of the Falkner-Skan equations ⋮ Existence of solutions of a generalized Blasius equation ⋮ Similarity stagnation point solutions of the Navier-Stokes equations - review and extension ⋮ Numerical transformation methods: Blasius problem and its variants

Cites Work

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• On the differential equations of the simplest boundary-layer problems
• On a differential equation of boundary-layer theory
• Elementarer Beweis für die Eindeutigkeit der Strömung in der laminaren Grenzschicht zur Potentialströmung U_u₁x^m mit m ⩾ 0 bei Absaugen und Ausblasen

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