论文标题
连续数据同化的三维Brinkman-Forchheimer延伸的参数分析
Parameter analysis in continuous data assimilation for three-dimensional Brinkman-Forchheimer-extended Darcy
论文作者
论文摘要
在本文中，我们可以在分析上研究三维Brinkman-Forchheimer扩展的Darcy模型的长期行为，而与阻尼非线性项相关的参数尚不清楚。这项工作的灵感来自卡尔森，哈德森和拉里奥斯首先针对二维Navier-Stokes方程式引入的方法。我们显示了L2和H1中的估计值，该估计值是真实溶液和同化溶液之间的大时间误差，该溶液是由Azouani，Olson和Titi提出的连续数据同化技术从连续的数据同化技术中连续获得的未知阻尼参数和观测测量值构建的。
In this paper, we study analytically the long-time behavior of three-dimensional Brinkman-Forchheimer-extended Darcy model, in the context that the parameters related to the damping nonlinear term are unknown. This work is inspired by the approach firstly introduced for two-dimensional Navier-Stokes equations by Carlson, Hudson and Larios. We show estimates in L2 and H1 for large-time error between the true solution and the assimilated solution, which is constructed with the unknown damping parameters and observational measurements obtained continuously in time from a continuous data assimilation technique proposed by Azouani, Olson and Titi.
