论文标题
临时测试功能,用于将可压缩粘性流体均质化,并应用于障碍物问题。
Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two
论文作者
论文摘要
在本文中,我们强调了一组临时测试功能,以研究带有微小孔的结构域中粘性压缩流体的均质化。这组功能允许在第二和三维中改善先前的结果。作为一种应用,我们表明,小障碍物的存在不会影响尺寸二维中粘性可压缩流体的动力学。
In this paper we highlight a set of ad hoc test functions to study the homogenization of viscous compressible fluid in domains with tiny holes. This set of functions allows to improve previous results in dimensions two and three. As an application we show that the presence of a small obstacle does not influence the dynamics of a viscous compressible fluid in dimension two.