Title

On Solutions Of Some Singular, Non-Linear Differential Equations Arising In Boundary Layer Theory

Abstract

Solutions for a class of singular, non-linear, second-order differential equations arising in boundary layer theory with suction/injection, when Crocco variables are employed, are obtained. Existence, uniqueness, and analyticity results are established for boundary conditions corresponding to flow of a uniform stream past a semi-infinite flat plate (classical problem of Blasius) and for the flow behind weak expansion. Since the standardization technique (in Refs. [8, 9, 11]) does not work, a new technique is developed and used in proving existence and uniqueness theorems. Furthermore, the analytical solutions are compared with the numerical ones. © 1991.

Publication Date

1-1-1991

Publication Title

Journal of Mathematical Analysis and Applications

Volume

155

Issue

2

Number of Pages

499-512

Document Type

Article

Personal Identifier

scopus

DOI Link

https://doi.org/10.1016/0022-247X(91)90015-R

Socpus ID

0000169149 (Scopus)

Source API URL

https://api.elsevier.com/content/abstract/scopus_id/0000169149

This document is currently not available here.

Share

COinS