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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.
Original language | English |
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Pages (from-to) | 491-508 |
Number of pages | 18 |
Journal | SIAM Journal on Mathematical Analysis |
Volume | 53 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2021 |
MoE publication type | A1 Journal article-refereed |
Keywords
- incompressible porous media equations
- relaxation
- lamination convex hull
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Projects
- 1 Active
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QUAMAP: Quasiconformal Methods in Analysis and Applications
27/08/2019 → 31/08/2024
Project: EU: ERC grants