论文标题
在随机均质化中几乎不可压缩弹性的大规模规律性
Large-scale Regularity of Nearly Incompressible Elasticity in Stochastic Homogenization
论文作者
论文摘要
在本文中，我们系统地研究了几乎不可压缩弹性的线性系统的规律性理论。在随机均质化的设置中，我们开发了新技术来建立位移和压力的大规模估计值，这些估计值在比例参数和不可压缩性参数上都是均匀的。特别是，我们在新的Lipschitz域中获得边界估计，其边界在大尺度上平滑而在小尺度上颠簸。
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.
