Homogenization of Stokes Equations With Matrix Coefficients in a Highly Oscillating Domain

ABSTRACT This article focuses on investigating the homogenization of generalized stationary Stokes equations featuring highly oscillating coefficient matrices in a two‐dimensional oscillating domain. By applying mixed boundary data incorporating nonnegative parameters, such as Robin and Neumann conditions, on various segments of these highly oscillating boundaries and employing unfolding techniques, we derive nontrivial contributions dependent on these parameters in the homogenized problem.