Advances in Differential Equations

On the Blasius problem

Bernard Brighi, Augustin Fruchard, and Tewfik Sari

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

The Blasius problem $f'''+ff''=0$, $f(0)=-a$, $f'(0)=b$, $f'(+\infty)={\lambda}$ is exhaustively investigated. In particular, the difficult and scarcely studied case $b <0\leq{\lambda}$ is analyzed in details, in which the shape and the number of solutions is determined. The method is first, to reduce to the Crocco equation $uu''+s=0$, and then to use an associated autonomous planar vector field. The most useful properties of Crocco solutions appear to be related to canard solutions of a slow fast vector field.

Article information

Source
Adv. Differential Equations Volume 13, Number 5-6 (2008), 509-600.

Dates
First available in Project Euclid: 18 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.ade/1355867344

Mathematical Reviews number (MathSciNet)
MR2482397

Zentralblatt MATH identifier
1158.34016

Subjects
Primary: 34B15: Nonlinear boundary value problems
Secondary: 34B40: Boundary value problems on infinite intervals 76D10: Boundary-layer theory, separation and reattachment, higher-order effects

Citation

Brighi, Bernard; Fruchard, Augustin; Sari, Tewfik. On the Blasius problem. Adv. Differential Equations 13 (2008), no. 5-6, 509--600. https://projecteuclid.org/euclid.ade/1355867344.


Export citation