The equation \(f^{{\prime}{\prime}{\prime}}+ff^{{\prime}{\prime}}+g(f^{\prime})=0\) and the associated boundary value problems

DOI10.1007/s00025-011-0122-0zbMath1267.34043OpenAlexW1973549412MaRDI QIDQ1930336

Bernard Brighi

Publication date: 10 January 2013

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-011-0122-0

zbMATH Keywords

similarity solutionboundary layerfluid mechanicsBlasius inequalitiesconcave and convex solutionsthird order nonlinear ODE

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Boundary-layer theory, separation and reattachment, higher-order effects (76D10) Growth and boundedness of solutions to ordinary differential equations (34C11)

Related Items (11)

Existence of strong solutions for nonlinear systems of PDEs arising in convective flow ⋮ On the solutions of a boundary value problem arising in free convection with prescribed heat flux ⋮ On a non-linear boundary-layer problem for the fractional Blasius-type equation ⋮ On a nonlinear system of PDE's arising in free convection ⋮ Unnamed Item ⋮ Existence and nonexistence of solutions on opposing mixed convection problems in boundary layer theory ⋮ On the convex and convex-concave solutions of opposing mixed convection boundary layer flow in a porous medium ⋮ On similarity solutions for boundary layer flows with prescribed heat flux ⋮ On the Darboux integrability of Blasius and Falkner-Skan equation ⋮ Existence of positive solutions for a singular third-order two-point boundary value problem on the half-line ⋮ An extension result of the opposing mixed convection problem arising in boundary layer theory

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