This paper is concerned with uniform regularity estimates for a family of Stokes systems with rapidly oscillating periodic coefficients. We establish interior Lipschitz estimates for the velocity and L estimates for the pressure as well as a Liouville property for solutions in ℝd. We also obtain the boundary W1,p estimates in a bounded C1 domain for any 1 < p < ∞.

Document Type


Publication Date


Notes/Citation Information

Published in SIAM Journal of Mathematical Analysis, v. 47, no. 5, p. 4025-4057.

First Published in SIAM Journal of Mathematical Analysis in v. 47, no. 5, published by the Society for Industrial and Applied Mathematics (SIAM). Copyright © by SIAM. Unauthorized reproduction of this article is prohibited.

Digital Object Identifier (DOI)


Included in

Mathematics Commons