Averaging a transport equation with small diffusion and oscillating velocity
Alain P. Bourgeat, Mladen Jurak, Andrey Lvovich Piatnitski · Mathematical Methods in the Applied Sciences · 2002
Abstract 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.