Large-scale Regularity of Nearly Incompressible Elasticity in Stochastic Homogenization
Analysis of PDEs
2021-04-02 v2
Abstract
In this paper, we systematically study the regularity theory of the linear system of nearly incompressible elasticity. In the setting of stochastic homogenization, we develop new techniques to establish the large-scale estimates of displacement and pressure, which are uniform in both the scale parameter and the incompressibility parameter. In particular, we obtain the boundary estimates in a new class of Lipschitz domains whose boundaries are smooth at large scales and bumpy at small scales.
Keywords
Cite
@article{arxiv.2004.14568,
title = {Large-scale Regularity of Nearly Incompressible Elasticity in Stochastic Homogenization},
author = {Shu Gu and Jinping Zhuge},
journal= {arXiv preprint arXiv:2004.14568},
year = {2021}
}
Comments
64 pages