N. Popovic, P. Szmolyan:

"A geometric analysis of the lagerstrom model problem";

Journal of Differential Equations,199(2004), 290 - 325.

Lagerstrom's model problem is a classical singular perturbation problem which was introduced to

illustrate the ideas and subtleties involved in the analysis of viscous flow past a solid at low Reynolds

number by the method of matched asymptotic expansions. In this paper the corresponding boundary

value problem is analyzed geometrically by using methods from the theory of dynamical systems, in

particular invariant manifold theory. As an essential part of the dynamics takes place near a line of

non-hyperbolic equilibria, a blow-up transformation is introduced to resolve these singularities. This

approach leads to a constructive proof of existence and local uniqueness of solutions and to a better

understanding of the singular perturbation nature of the problem. In particular, the source of the

logarithmic switchback phenomenon is identified.

http://aleph.ub.tuwien.ac.at/F?base=tuw01&func=find-c&ccl_term=AC04969892

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

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