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OPTIMAL BOUNDARY ESTIMATES FOR STOKES SYSTEMS IN HOMOGENIZATION THEORY.
- Source :
-
SIAM Journal on Mathematical Analysis . 2017, Vol. 49 Issue 5, p3831-3853. 23p. - Publication Year :
- 2017
-
Abstract
- This paper is concerned with sharp boundary regularity estimates in homogenization of the Dirichlet problem for Stokes systems. We obtain Lipschitz estimates for the velocity and L∞ estimate for the pressure, under some reasonable smoothness assumption on rapidly oscillating periodic coefficients. We find a new way to obtain the sharp u niform boundary L∞ estimates without imposing the symmetry assumption on coefficients. Additionally, we emphasize that the estimate for the pressure does require the O(ε1/2) convergence rate, locally at least, compared to O(ελ) for the velocity with λ ∊ (0,1/2). [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361410
- Volume :
- 49
- Issue :
- 5
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Mathematical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 126381772
- Full Text :
- https://doi.org/10.1137/16M1108571