Singular perturbation of an exterior Dirichlet problem
Abstract
This paper discusses a class of singular perturbation problems such as those of slow viscous flow past a cylinder. A semilinear secondorder elliptic equation with a small parameter is used as a model to illustrate the correlation between a regular perturbation procedure and the method of matched asymptotic expansions. Some justification of the formal inner and outer expansions is established. It is found that the use of integral equations of the first kind for treating such a class of singular perturbation problems seems most desirable.
 Publication:

SIAM Journal of Mathematical Analysis
 Pub Date:
 February 1978
 Bibcode:
 1978SJMA....9..160H
 Keywords:

 Dirichlet Problem;
 Perturbation Theory;
 Viscous Flow;
 Asymptotic Methods;
 Elliptic Differential Equations;
 Existence Theorems;
 Green'S Functions;
 Integral Equations;
 Oseen Approximation;
 Uniqueness Theorem;
 Fluid Mechanics and Heat Transfer