N. Popovic, P. Szmolyan:

"Rigorous asymptotic expansions for Lagerstrom's model equation - a geometric approach";

Nonlinear Analysis: Theory, Methods & Applcations,59(2004), 531 - 565.

The present work is a continuation of the geometric singular perturbation analysis of the Lagerstrom model problem which was commenced in J. Differential Equations (199 (2) (2004) 290-325). We

establish the same framework here, reinterpreting Lagerstrom's equation as a dynamical system which is subsequently analyzed by means of methods from dynamical systems theory as well as of the blow-up

technique. We show how rigorous asymptotic expansions for the Lagerstrom problem can be obtained using geometric methods, thereby establishing a connection to the method of matched asymptotic

expansions. We explain the structure of these expansions and demonstrate that the occurrence of the well-known logarithmic (switchback) terms therein is caused by a resonance phenomenon.

http://aleph.ub.tuwien.ac.at/F?base=tuw01&func=find-c&ccl_term=AC04969893

http://deana.math.tuwien.ac.at/peter/

Created from the Publication Database of the Vienna University of Technology.