Convergence Rates in Homogenization of Stokes Systems

TL;DR

This paper investigates how quickly solutions to Stokes systems with rapidly oscillating periodic coefficients converge in $L^2$ and $H^1$ norms, without assuming regularity of the coefficients.

Contribution

It establishes convergence rates in $L^2$ and $H^1$ for homogenization of Stokes systems without regularity assumptions on the coefficients.

Findings

Convergence rates in $L^2$ and $H^1$ norms are derived.

Results hold without regularity assumptions on coefficients.

Provides theoretical bounds for homogenization of Stokes systems.

Abstract

This paper studies the convergence rates in $L^2$ and $H^1$ of Dirichelt problems for Stokes systems with rapidly oscillating periodic coefficients, without any regularity assumptions on the coefficients.