论文标题
改善了Stokes-Lamé系统的边界规律性
Improved boundary regularity for a Stokes-Lamé system
论文作者
论文摘要
本文回顾了一个部分微分方程系统，该方程是公认的流体弹性相互作用三维模型的线性化。建立了人体与流体之间界面上流体变量的痕迹的规律性结果，如果存在合适的边界耗散。这些规律性的估计值（在局部和全球性质的时空中）旨在确保代数riccati方程的适当性，这些方程是由相关的最佳边界控制问题在无限时间范围内产生的。操作员半群和插值的理论提供了主要工具。
This paper recalls a partial differential equations system, which is the linearization of a recognized fluid-elasticity interaction three-dimensional model. A collection of regularity results for the traces of the fluid variable on the interface between the body and the fluid is established, in the case a suitable boundary dissipation is present. These regularity estimates -- in time and space, of local and global nature -- are geared toward ensuring the well-posedness of the algebraic Riccati equations which arise from the associated optimal boundary control problems on an infinite time horizon. The theory of operator semigroups and interpolation provide the main tools.
