Lamination Convex Hull of Stationary Incompressible Porous Media Equations

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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2021
Major/Subject
Mcode
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Language
en
Pages
18
491-508
Series
SIAM Journal on Mathematical Analysis, Volume 53, issue 1
Abstract
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.
Description
| openaire: EC/H2020/307179/EU//GFTIPFD | openaire: EC/H2020/834728/EU//QUAMAP
Keywords
incompressible porous media equations, relaxation, lamination convex hull, FLOW
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Citation
Hitruhin , L & Lindberg , S 2021 , ' Lamination Convex Hull of Stationary Incompressible Porous Media Equations ' , SIAM Journal on Mathematical Analysis , vol. 53 , no. 1 , pp. 491-508 . https://doi.org/10.1137/20M134633X