A two-point boundary value problem arising in boundary layer theory

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:417

Article

Zhang, Zhongxin

关键词: Boundary layer flow;    Two-point boundary value problem;    Singular initial value problem;    Normal solution;    Positive solution;   

DOI  :  10.1016/j.jmaa.2014.03.051

来源: Elsevier

【 摘 要 】

A two-point boundary value problem of second order is restudied, which describes both a similarity boundary-layer flow induced by a moving permeable plane surface and a self-similar free convection boundary-layer flow over a vertical permeable flat plate embedded in a fluid-saturated porous medium. It is proved that there exists a lambda(min) is an element of [1,2/root 3] such that this problem has a unique normal solution phi(eta; lambda) for all lambda >= lambda(min) and the solution phi(eta; lambda) is strictly decreasing with respect to both eta >= 0 and lambda >= lambda(min); moreover, phi'(0; lambda(min)) = 0 and phi'(0; lambda), as a function of lambda, is strictly decreasing for lambda >= lambda(min). (C) 2014 Elsevier Inc. All rights reserved.

【 授权许可】

Free