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
Copyright Status
Unknown
Socpus ID
0000169149 (Scopus)
Source API URL
https://api.elsevier.com/content/abstract/scopus_id/0000169149
STARS Citation
Vajravelu, K.; Soewono, E.; and Mohapatra, R. N., "On Solutions Of Some Singular, Non-Linear Differential Equations Arising In Boundary Layer Theory" (1991). Scopus Export 1990s. 1435.
https://stars.library.ucf.edu/scopus1990/1435