Lamination Convex Hull of Stationary Incompressible Porous Media Equations

Lauri Hitruhin; Sauli Lindberg

doi:10.1137/20M134633X

Lamination Convex Hull of Stationary Incompressible Porous Media Equations

Lauri Hitruhin^*, Sauli Lindberg

^*Tämän työn vastaava kirjoittaja

Matematiikan ja systeemianalyysin laitos

Tutkimustuotos: Lehtiartikkeli › Article › Scientific › vertaisarvioitu

111 Lataukset (Pure)

Abstrakti

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.

Alkuperäiskieli	Englanti
Sivut	491-508
Sivumäärä	18
Julkaisu	SIAM Journal on Mathematical Analysis
Vuosikerta	53
Numero	1
DOI - pysyväislinkit	https://doi.org/10.1137/20M134633X
Tila	Julkaistu - 2021
OKM-julkaisutyyppi	A1 Julkaistu artikkeli, soviteltu

Pääsy asiakirjaan

10.1137/20M134633X

Hitruhin_Lindberg_Lamination_Convex.20m134633xFinal published version, 397 KB

OpenUrl-saatavuus

Koko teksti

QUAMAP: Quasiconformal Methods in Analysis and Applications
Astala, K., Lindberg, S. & Prats Soler, M.
27/08/2019 → 30/04/2021
Projekti: EU: ERC grants

Siteeraa tätä

@article{f75d3772989146ecb403e2ac7802d489,

title = "Lamination Convex Hull of Stationary Incompressible Porous Media Equations",

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.",

keywords = "incompressible porous media equations, relaxation, lamination convex hull, FLOW",

author = "Lauri Hitruhin and Sauli Lindberg",

note = "| openaire: EC/H2020/307179/EU//GFTIPFD | openaire: EC/H2020/834728/EU//QUAMAP ",

year = "2021",

doi = "10.1137/20M134633X",

language = "English",

volume = "53",

pages = "491--508",

journal = "SIAM Journal on Mathematical Analysis",

issn = "0036-1410",

number = "1",

}

TY - JOUR

T1 - Lamination Convex Hull of Stationary Incompressible Porous Media Equations

AU - Hitruhin, Lauri

AU - Lindberg, Sauli

N1 - | openaire: EC/H2020/307179/EU//GFTIPFD | openaire: EC/H2020/834728/EU//QUAMAP

PY - 2021

Y1 - 2021

N2 - 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.

AB - 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.

KW - incompressible porous media equations

KW - relaxation

KW - lamination convex hull

KW - FLOW

U2 - 10.1137/20M134633X

DO - 10.1137/20M134633X

M3 - Article

VL - 53

SP - 491

EP - 508

JO - SIAM Journal on Mathematical Analysis

JF - SIAM Journal on Mathematical Analysis

SN - 0036-1410

IS - 1

ER -

Lamination Convex Hull of Stationary Incompressible Porous Media Equations

Abstrakti

Pääsy asiakirjaan

OpenUrl-saatavuus

Sormenjälki

Projektit

QUAMAP: Quasiconformal Methods in Analysis and Applications

Siteeraa tätä