<div class="csl-bib-body">
<div class="csl-entry">Gavioli, C., & Krejci, P. (2023). Degenerate diffusion with Preisach hysteresis. <i>Discrete and Continuous Dynamical Systems - Series S</i>, <i>16</i>(12), 3677–3708. https://doi.org/10.3934/dcdss.2023154</div>
</div>
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dc.identifier.issn
1937-1632
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dc.identifier.uri
http://hdl.handle.net/20.500.12708/190428
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dc.description.abstract
Fluid diffusion in unsaturated porous media manifests strong hysteresis effects due to surface tension on the liquid-gas interface. We describe hysteresis in the pressure-saturation relation by means of the Preisach operator, which makes the resulting evolutionary PDE strongly degenerate. We prove the existence and uniqueness of a strong global solution in arbitrary space dimension using a special weak convexity concept.
en
dc.language.iso
en
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dc.publisher
AMER INST MATHEMATICAL SCIENCES-AIMS
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dc.relation.ispartof
Discrete and Continuous Dynamical Systems - Series S
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dc.subject
Porous media
en
dc.subject
degenerate PDE
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dc.subject
hysteresis
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dc.subject
higher order energies
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dc.subject
convexity
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dc.title
Degenerate diffusion with Preisach hysteresis
en
dc.type
Article
en
dc.type
Artikel
de
dc.contributor.affiliation
Czech Technical University, Czech Republic
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dc.description.startpage
3677
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dc.description.endpage
3708
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dc.type.category
Original Research Article
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tuw.container.volume
16
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tuw.container.issue
12
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tuw.journal.peerreviewed
true
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tuw.peerreviewed
true
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wb.publication.intCoWork
International Co-publication
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tuw.researchTopic.id
A3
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tuw.researchTopic.name
Fundamental Mathematics Research
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tuw.researchTopic.value
100
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dcterms.isPartOf.title
Discrete and Continuous Dynamical Systems - Series S
