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Inferring filtration laws from the spreading of a liquid modelling by the porous medium equation

Abstract:

Motivated by modelling the spreading of a two-dimensional particle-laden gravity current on a porous membrane, we couple the porous medium equation with drainage with a blocking law for the pores of the membrane. The blocking law characterises a range of blocking phenomena through the choice of a single blocking parameter α ∈ [−∞, ∞]. We pose the question whether the value of the blocking parameter, and hence the blocking law, can be inferred by observing the position of the front of the curr...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1137/18M1188872

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0001-6882-7977
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Role:
Author
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Name:
Royal Society
Grant:
UF130115
Publisher:
Society for Industrial and Applied Mathematics
Journal:
SIAM Journal on Applied Mathematics More from this journal
Volume:
79
Issue:
4
Pages:
1389–1404
Publication date:
2019-07-25
Acceptance date:
2019-04-02
DOI:
ISSN:
0036-1399
Keywords:
Pubs id:
pubs:987621
UUID:
uuid:0ae79661-f2fa-4fdc-9d0a-c6278c6b3466
Local pid:
pubs:987621
Source identifiers:
987621
Deposit date:
2019-04-06

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