Homogenization of stokes systems and uniform regularity estimates

Shu Gu; Zhongwei Shen

doi:10.1137/151004033

Homogenization of stokes systems and uniform regularity estimates

Shu Gu, Zhongwei Shen

Producción científica: Article › revisión exhaustiva

29 Citas (Scopus)

Resumen

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 ℝ^d. We also obtain the boundary W^1,p estimates in a bounded C¹ domain for any 1 p ∞.

Idioma original	English
Páginas (desde-hasta)	4025-4057
Número de páginas	33
Publicación	SIAM Journal on Mathematical Analysis
Volumen	47
N.º	5
DOI	https://doi.org/10.1137/151004033
Estado	Published - 2015

Nota bibliográfica

Publisher Copyright:
© 2015 Society for Industrial and Applied Mathematics.

Financiación

Financiadores	Número del financiador
National Stroke Foundation	DMS-1161154
National Stroke Foundation

ASJC Scopus subject areas

Analysis
Computational Mathematics
Applied Mathematics

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AB - 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 ∞.

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KW - Regularity

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Homogenization of stokes systems and uniform regularity estimates

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