New results of Falkner-Skan equation arising in boundary layer theory
type: Item
instance of: scholarly article
title: New results of Falkner-Skan equation arising in boundary layer theory
zbMATH Open document ID: 1161.34015
author: B. E. Eshmatov
published in: Applied Mathematics and Computation
publication date: 2008-09-01T00:00:00Z
review text: The Falkner-Skan equation is a parameter dependent, third order non-linear ordinary differential equation arising in the theory of two-dimensional incompressible boundary layer theory. It is known that when the parameter \(\lambda\) is non-negative the Falkner-Skan equation is well-posed. On the other hand, there exists a negative real number \(\lambda^*\) such that there are no solutions for \(\lambda < \lambda^*\), exactly one for \(\lambda = \lambda^*\), and at least one for \(\lambda \in (\lambda^*, 0)\). In the paper under review, the author uses an equivalent singular integral equation to establish new properties of the solutions of the Falkner-Skan equation. In particular, it is shown that \(\lambda^* \geq -0.36\).
reviewed by: Mats Ehrnström
Mathematics Subject Classification ID: 34B40
zbMATH DE Number: 5318731
zbMATH Keywords: Falkner--Skan equation
zbMATH Keywords: positive solutions
MaRDI profile type: Publication
full work available at URL: j.amc.2008.02.003
OpenAlex ID: W2122975014
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DOI: 10.1016/J.AMC.2008.02.003
description: scientific article; zbMATH DE number 5318731