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 ∞.
Original language | English |
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Pages (from-to) | 4025-4057 |
Number of pages | 33 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 47 |
Issue number | 5 |
DOIs | |
State | Published - 2015 |
Bibliographical note
Publisher Copyright:© 2015 Society for Industrial and Applied Mathematics.
Keywords
- Homogenization
- Regularity
- Stokes systems
ASJC Scopus subject areas
- Analysis
- Computational Mathematics
- Applied Mathematics