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2002 Non-classical boundary layers for fourth-order equations with singular limit solution
Makram Hamouda
Differential Integral Equations 15(12): 1435-1458 (2002).


In this article we study non classical singular perturbation problems involving boundary layers in the interior of the domain. As usual, these problems contain a small parameter which produces, when this parameter approaches zero, classical boundary layers located at the boundary. If we moreover consider a singular source function, we produce also boundary layers inside the domain. Our aim in this article is to study this kind of boundary layers. We consider, here, a model with a fourth-order differential operator, and the open set is a channel to avoid the technicalities due to the curvature of the boundary. Other stationary problems and time dependent problems will be considered elsewhere.


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Makram Hamouda. "Non-classical boundary layers for fourth-order equations with singular limit solution." Differential Integral Equations 15 (12) 1435 - 1458, 2002.


Published: 2002
First available in Project Euclid: 21 December 2012

zbMATH: 1021.35026
MathSciNet: MR1920254

Primary: 35B25
Secondary: 34E15 , 35C20 , 35J40 , 35R05

Rights: Copyright © 2002 Khayyam Publishing, Inc.


Vol.15 • No. 12 • 2002
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