Research Page
Topics in Strong Localized Perturbation Theory
description to be written; pictures

Strong Localized Perturbations of Eigenvalue Problems
with J.B. Keller
(SIAM J. Appl. Math., Vol. 53, No. 3, (1993), pp. 770798.)

Summing Logarithmic Expansions for Singularly Perturbed Eigenvalue
Problems
with W.D. Henshaw, J.B. Keller
(SIAM J. Appl. Math., Vol. 53, No. 3, (1993), pp. 799828.)

Asymptotics Beyond All Orders for a Low Reynolds Number Flow
with J.B. Keller (J. Engineering Mathematics, Vol. 30, (1996) pp.
253265.)

An Asymptoptic Study of Oxygen Transport from Multiple Capillaries to
Skeletal Muscle Tissue
with M. Titcombe (SIAM J. Appl. Math., Vol. 60, No. 5, (2000),
pp. 17671788.)

Summing Logarithmic Expansions for Elliptic Equations in
MultiplyConnected Domains with Small Holes
with M. Titcombe (Canadian Quart. Appl. Math., Vol. 7, No. 3,
(1999), pp. 313343.)

Diffusion and Bifurcation Problems in Singularly Perturbed Domains
Equations
(Natural Resource Modeling, Vol. 13, No. 2, (2000), pp. 271302.)

Asymptotic Methods for PDE Problems in Fluid Mechanics and Related
Systems with Strong Localized Perturbations in TwoDimensional Domains
with M.C. Kropinski (book chapter in
"Asymptotic Methods in Fluid Mechanics: Surveys and Results",
CISM International Centre for Mechanical Science, Vol. 523, (2010), Springer
48 pages.) Some
 Problems to accompany
the notes.
 Asymptotic Analysis of Localized
Solutions to Some Linear and Nonlinear Biharmonic Eigenvalue Problems
with A. Lindsay and M.C. Kropinski (online first, Studies in Applied
Mathematics, January (2011), 43 pages).