An Elementary Approach to a Model Problem of Lagerstrom

Details An Elementary Approach to a Model Problem of Lagerstrom An Elementary Approach to a Model Problem of Lagerstrom

2008-11-26

arxiv.org/abs/0811.4305v1

Mathematics

Classical Analysis and ODEs

Scientific paper

The equation studied is u"+((n-1)/r)u'+epsilon u u'+ku'^{2}=0, with boundary conditions u(1)=0, u(infinity)=1. This model equation has been studied by many authors since it was introduced in the 1950s by P. A. Lagerstrom. We use an elementary approach to show that there is an infinite series solution which is uniformly convergent on 1<=r 0, k >= 0, and n >= 1.

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