Linear parabolic problem: High-frequency asymptotics in the critical case
V. V. Gusachenko, Е. А. Ильичева, Valeriy Borisovich Levenshtam · Computational Mathematics and Mathematical Physics · 2013
A second-order linear parabolic problem with high-frequency terms is considered. The elliptic operator of the corresponding limiting (averaged) problem is assumed to be degenerate. A complete formal asymptotic expansion of a time-periodic solution of the perturbed problem is constructed.