Title
Drift-Diffusion Past a Circle: Shadow Region Asymptotics
Abstract
We consider the steady state concentration of some diffusing substance, subject to a uniform drift field, past a circular obstacle. We obtain some exact representations of the concentration profile of the substance exterior to the obstacle. These representations are particularly useful for studying the solution in ranges of space where the concentration is very small (the "shadow" regions). We assume then that the drift dominates diffusion and obtain various asymptotic expansions in the shadow regions.
Year
DOI
Venue
2009
10.1137/080717109
SIAM JOURNAL ON APPLIED MATHEMATICS
Keywords
Field
DocType
convection,diffusion,shadow,asymptotics
Obstacle,Shadow,Convection,Mathematical analysis,Asymptotic analysis,Mathematics
Journal
Volume
Issue
ISSN
69
6
0036-1399
Citations 
PageRank 
References 
0
0.34
3
Authors
2
Name
Order
Citations
PageRank
Sean Lynch121.79
Charles Knessl221540.43