Oscillating Solutions of the Falkner–Skan Equation for Negative $\beta $

DOI10.1137/0518032zbMath0621.76033OpenAlexW2015547657MaRDI QIDQ3758426

William C. Troy, Stuart P. Hastings

Publication date: 1987

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0518032

zbMATH Keywords

existenceperiodic solutionsmethod of matched asymptotic expansionssimilarity solutionsFalkner-Skan equationlaminar incompressible boundary layer flow

Mathematics Subject Classification ID

Asymptotic methods, singular perturbations applied to problems in fluid mechanics (76M45) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Almost and pseudo-almost periodic solutions to PDEs (35B15)

Related Items (6)

Existence of solutions of laminar boundary layer equations with decelerating external flows ⋮ The equation \(f^{{\prime}{\prime}{\prime}}+ff^{{\prime}{\prime}}+g(f^{\prime})=0\) and the associated boundary value problems ⋮ Oscillating solutions of the Falkner-Skan for positive \(\beta\) ⋮ On the Darboux integrability of Blasius and Falkner-Skan equation ⋮ Closed-form meromorphic solutions of some third order boundary layer ordinary differential equations ⋮ A computer proof that the Lorenz equations have ``chaotic solutions

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