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Lamination Convex Hull of Stationary Incompressible Porous Media Equations
SIAM Journal on Mathematical Analysis ( IF 2.2 ) Pub Date : 2021-01-21 , DOI: 10.1137/20m134633x
Lauri Hitruhin , Sauli Lindberg

SIAM Journal on Mathematical Analysis, Volume 53, Issue 1, Page 491-508, January 2021.
We compute the lamination convex hull of the stationary incompressible porous media (IPM) equations. We also show in bounded domains that for subsolutions of stationary IPM taking values in the lamination convex hull, velocity vanishes identically and density depends only on height. We relate the results to the infinite time limit of non-stationary IPM.


中文翻译:

平稳不可压缩多孔介质方程的层合凸包

SIAM数学分析杂志,第53卷,第1期,第491-508页,2021年1月。
我们计算了固定不可压缩多孔介质(IPM)方程的叠层凸包。我们还在有界域中显示出,对于固定IPM的子解,在叠层凸壳中采用值,速度相同地消失,并且密度仅取决于高度。我们将结果与非平稳IPM的无限时限联系起来。
更新日期:2021-01-22
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