On the Averaging Method in Nearly Time-Periodic Advection-Diffusion Problems
Maarten S. Krol · SIAM Journal on Applied Mathematics · 1991
The problem of the transport of material by advection and diffusion is studied. The advective flow is assumed to be nearly periodic; the diffusion is assumed to be small. The reduced problem (periodic advective flow, no diffusion) is solved to transform the original problem into a standard form. The solution of the transformed problem is approximated using the method of averaging. A proof of the validity of the approximation, estimates of the approximation error, and some applications are given.