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Averaging a transport equation with small diffusion and oscillating velocity
Author(s) -
Bourgeat A.,
Jurak M.,
Piatnitski A. L.
Publication year - 2002
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.344
Subject(s) - mathematics , convection–diffusion equation , asymptotic expansion , mathematical analysis , term (time) , diffusion , boundary layer , space (punctuation) , diffusion equation , boundary (topology) , convection , asymptotic analysis , mechanics , physics , thermodynamics , linguistics , philosophy , economy , quantum mechanics , economics , service (business)
A complete asymptotic expansion is constructed for the transport equation with diffusion term small with respect to the convection. Error estimates are obtained by using matched asymptotic expansion technique and building all the boundary layer terms in time and in space, necessary for obtaining an accurate error estimate. Copyright © 2003 John Wiley & Sons, Ltd.