PRIMER SERIES
Friday, 27 July 2012
4.10pm
KF06 101 (Kirkwood Village)

Phil Wilson (University of Canterbury)

Matched Asymptotic Expansions

Abstract
Equations in which the highest-order term is multiplied by a small
constant often feature at least one region in which their solution
varies rapidly in a so-called boundary layer. This type of solution,
important to the development of aerodynamics in the early 20th century,
today finds broad application in a wide variety of scenarios. In this
informal Primer, we will examine how a boundary layer solution valid
only in an "inner region" of the solution domain can be smoothly
"matched" with an "outer solution" to create a globally valid solution.

What are Primers?
Primers in Mathematics and Statistics are short expository introductions
to a field of research by someone who is active in the area. Strengthen
your research; learn from your colleagues; develop a common language.
http://www.math.canterbury.ac.nz/primers
ALL WELCOME