Lamination Convex Hull of Stationary Incompressible Porous Media Equations

Altmetrics



Title:	Lamination Convex Hull of Stationary Incompressible Porous Media Equations
Author(s):	Hitruhin, Lauri ; Lindberg, Sauli
Date:	2021
Language:	en
Pages:	18 491-508
Department:	Department of Mathematics and Systems Analysis
Series:	SIAM Journal on Mathematical Analysis, Volume 53, issue 1
ISSN:	0036-1410 1095-7154
DOI-number:	10.1137/20M134633X
Keywords:	incompressible porous media equations, relaxation, lamination convex hull, FLOW
» Show full item record
This publication is imported from Aalto University Research information portal: https://research.aalto.fi > View this publication in Research information portal > View/Open full text file from Research information portal
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
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
Permanent link to this item: http://urn.fi/URN:NBN:fi:aalto-202104072808 Email this Export to RefWorks QR Code Print BibTex Tweet