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 ∞.
|Number of pages||33|
|Journal||SIAM Journal on Mathematical Analysis|
|State||Published - 2015|
Bibliographical notePublisher Copyright:
© 2015 Society for Industrial and Applied Mathematics.
- Stokes systems
ASJC Scopus subject areas
- Computational Mathematics
- Applied Mathematics