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Abstract
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
Article
Publication Date
2015
Digital Object Identifier (DOI)
https://doi.org/10.1137/151004033
Repository Citation
Gu, Shu and Shen, Zhongwei, "Homogenization of Stokes Systems and Uniform Regularity Estimates" (2015). Mathematics Faculty Publications. 17.
https://uknowledge.uky.edu/math_facpub/17
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.