On the Darboux integrability of Blasius and Falkner-Skan equation

DOI10.1016/j.compfluid.2013.06.027zbMath1290.34004OpenAlexW1998841901MaRDI QIDQ2016157

Jaume Llibre, Claudia Valls

Publication date: 19 June 2014

Published in: Computers and Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.compfluid.2013.06.027

zbMATH Keywords

integrabilityDarboux polynomialsBlasius equationFalkner-Skan equation

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Incompressible viscous fluids (76D99) Explicit solutions, first integrals of ordinary differential equations (34A05)

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Invariant algebraic surfaces and impasses, Closed-form meromorphic solutions of some third order boundary layer ordinary differential equations

Cites Work

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• The Falkner-Skan equation. II: Dynamics and the bifurcations of \(P\)- and \(Q\)-orbits
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• The equation \(f^{{\prime}{\prime}{\prime}}+ff^{{\prime}{\prime}}+g(f^{\prime})=0\) and the associated boundary value problems
• Darboux theory of integrability in \(\mathbb C^n\) taking into account the multiplicity
• On the differential equations of the simplest boundary-layer problems
• On a differential equation of boundary-layer theory
• Oscillatory solutions of the Falkner-Skan equation
• Oscillating Solutions of the Falkner–Skan Equation for Negative $\beta $
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