A quasi-solution approach to Blasius similarity equation with general boundary conditions

2014/04/08 by Tae Eun Kim, Kim, Tae Eun
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.1404.2248

openalex publication_date 2014/04/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A recently developed method \citeCostinetal, \citeDubrovin, and \citeBlasiusCT is used to find an analytic approximate solution with rigorous error bounds to the classical Blasius similarity equation with general boundary conditions. This provides detailed proofs for the results reported in \citeKim.

Citations

• On Borel summation and Stokes phenomena for rank-1 nonlinear systems of ordinary differential equations
• Analytical approximation of Blasius' similarity solution with rigorous error bounds

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