A System of Partial Differential Equations with High-Frequency Coefficients and Stokes Operator in the Main Part. Asymptotic Integration in the Case of Multiple Degeneration

Abstract

The problem of time-periodic solutions is considered for a system of partial differential equations with the Stokes operator in the main part with coefficients rapidly oscillating by time in the case of multiple degeneration of the averaged stationary operator. The results concerning the existence and uniqueness of these solutions are proved and their asymptotic expansions are constructed and justified.