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http://hdl.handle.net/1942/36267
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DC Field | Value | Language |
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dc.contributor.author | BOTH, Jakub | - |
dc.contributor.author | POP, Sorin | - |
dc.contributor.author | Yotov, Ivan | - |
dc.date.accessioned | 2021-12-17T11:08:24Z | - |
dc.date.available | 2021-12-17T11:08:24Z | - |
dc.date.issued | 2021 | - |
dc.date.submitted | 2021-12-14T20:08:23Z | - |
dc.identifier.citation | ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 55 (6) , p. 2849 -2897, | - |
dc.identifier.uri | http://hdl.handle.net/1942/36267 | - |
dc.description.abstract | We study unsaturated poroelasticity, i.e., coupled hydro-mechanical processes in variably saturated porous media, here modeled by a non-linear extension of Biot's well-known quasi-static consolidation model. The coupled elliptic-parabolic system of partial differential equations is a simplified version of the general model for multi-phase flow in deformable porous media, obtained under similar assumptions as usually considered for Richards' equation. In this work, existence of weak solutions is established in several steps involving a numerical approximation of the problem using a physically-motivated regularization and a finite element/finite volume discretization. Eventually, solvability of the original problem is proved by a combination of the Rothe and Galerkin methods, and further compactness arguments. This approach in particular provides the convergence of the numerical discretization to a regularized model for unsaturated poroelasticity. The final existence result holds under non-degeneracy conditions and natural continuity properties for the constitutive relations. The assumptions are demonstrated to be reasonable in view of geotechnical applications. | - |
dc.description.sponsorship | Meltzer Research Fund, Research Council of Norway (RCN) [250223]; FracFlow project - Equinor, Norway, through Akademiaavtalen; Research Foundation-Flanders (FWO), Belgium through the Odysseus programme FWO,[G0G1316N]; Akademia grant of Equinor; NSF National Science Foundation (NSF) [DMS 1818775, DMS 2111129]; Oberwolfach Simons Visiting Professorship | - |
dc.language.iso | en | - |
dc.publisher | EDP SCIENCES S A | - |
dc.rights | This journal is currently published in open access under a Subscribe-to-Open model (S2O). S | - |
dc.subject.other | Poroelasticity; Biot model; variably saturated porous media; Richards' | - |
dc.subject.other | equation | - |
dc.title | Global existence of weak solutions to unsaturated poroelasticity | - |
dc.type | Journal Contribution | - |
dc.identifier.epage | 2897 | - |
dc.identifier.issue | 6 | - |
dc.identifier.spage | 2849 | - |
dc.identifier.volume | 55 | - |
local.format.pages | 49 | - |
local.bibliographicCitation.jcat | A1 | - |
dc.description.notes | Both, JW (corresponding author), Univ Bergen, Dept Math, Allegaten 41, N-5007 Bergen, Norway. | - |
dc.description.notes | jakub.both@uib.no | - |
local.publisher.place | 17, AVE DU HOGGAR, PA COURTABOEUF, BP 112, F-91944 LES ULIS CEDEX A, | - |
local.publisher.place | FRANCE | - |
local.type.refereed | Refereed | - |
local.type.specified | Article | - |
dc.identifier.doi | 10.1051/m2an/2021063 | - |
dc.identifier.isi | WOS:000723784400005 | - |
dc.contributor.orcid | Pop, Iuliu Sorin/0000-0001-9647-4347 | - |
local.provider.type | wosris | - |
local.uhasselt.uhpub | yes | - |
local.description.affiliation | [Both, Jakub Wiktor] Univ Bergen, Dept Math, Allegaten 41, N-5007 Bergen, Norway. | - |
local.description.affiliation | [Pop, Iuliu Sorin] Hasselt Univ, Fac Sci, Campus Diepenbeek,Agoralaan Gebouw D, B-3590 Diepenbeek, Belgium. | - |
local.description.affiliation | [Yotov, Ivan] Univ Pittsburgh, Dept Math, 301 Thackeray Hall, Pittsburgh, PA 15260 USA. | - |
local.uhasselt.international | yes | - |
item.fullcitation | BOTH, Jakub; POP, Sorin & Yotov, Ivan (2021) Global existence of weak solutions to unsaturated poroelasticity. In: ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 55 (6) , p. 2849 -2897,. | - |
item.validation | ecoom 2022 | - |
item.contributor | BOTH, Jakub | - |
item.contributor | POP, Sorin | - |
item.contributor | Yotov, Ivan | - |
item.fulltext | With Fulltext | - |
item.accessRights | Open Access | - |
crisitem.journal.issn | 2822-7840 | - |
crisitem.journal.eissn | 2804-7214 | - |
Appears in Collections: | Research publications |
Files in This Item:
File | Description | Size | Format | |
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m2an200148.pdf | Published version | 1.63 MB | Adobe PDF | View/Open |
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