Lamination Convex Hull of Stationary Incompressible Porous Media Equations
Lauri Hitruhin, Sauli Lindberg · SIAM Journal on Mathematical Analysis · 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.