Fourth Mississippi State Conference on
Differential Equations and Computational Simulations,
Electron. J. Diff. Eqns., Conf. 03, 1999, pp. 108-118.
On matched asymptotic analysis for laminar channel flow with
a turning point
Chunqing Lu
Abstract:
This paper presents a formal analysis of the asimptotic behaviour of
solutions of type III for the Berman equation

where
describes a laminar flow in a channel with porous walls.
A solution has a nonlinear turning point
, i.e.\
for some
.
It is shown that

as
,
for
where
satisfies

Published July 10, 2000.
Math Subject Classifications: 34B15, 34E05, 34E20.
Key Words: singular perturbations, turning point, laminar flow,
transcendental terms.
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Department of Mathematics and Statistics
Southern Illinois University at Edwardsville
Edwardsville, IL 62026 USA
e-mail: clu@siue.edu
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