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Lecture Asymptotic Analysis, Summer Semester 2012
Barbara Wagner |
2-4pm, MA 541|
|Content:|| Problems in the
natural sciences and technology typically act on different (large and
small) time- and spatial scales. In the corresponding mathematical
model equations this is reflected by the appearance of small
parameters in the model.|
In this course we develop theory and methods that enable reduction and asymptotic solution of these multiple-scale problems. We cover the method of "matched asymptotics", the method of multiple scales, WKBJ method and apply them for the analysis of partial differential equations. Apart from these methods we also introduce the method of homogenisation, linear and nonlinear wave motion, weakly nonlinear stability analysis, asymptotic derivation of sharp-interface models.
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