Long-time behaviour of a porous medium model with degenerate hysteresis
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F24%3A00382043" target="_blank" >RIV/68407700:21110/24:00382043 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1098/rsta.2023.0299" target="_blank" >https://doi.org/10.1098/rsta.2023.0299</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1098/rsta.2023.0299" target="_blank" >10.1098/rsta.2023.0299</a>
Alternative languages
Result language
angličtina
Original language name
Long-time behaviour of a porous medium model with degenerate hysteresis
Original language description
Hysteresis in the pressure-saturation relation in unsaturated porous media, owing to surface tension on the liquid-gas interface, exhibits strong degeneracy in the resulting mass balance equation. As an extension of previous existence and uniqueness results, we prove that under physically admissible initial conditions and without mass exchange with the exterior, the unique global solution of the fluid diffusion problem exists and asymptotically converges as time tends to infinity to a possibly non-homogeneous mass distribution and an a priori unknown constant pressure.This article is part of the theme issue 'Non-smooth variational problems with applications in mechanics'.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
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Continuities
R - Projekt Ramcoveho programu EK
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
ISSN
1364-503X
e-ISSN
1471-2962
Volume of the periodical
382
Issue of the periodical within the volume
2277
Country of publishing house
GB - UNITED KINGDOM
Number of pages
10
Pages from-to
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UT code for WoS article
001279586200009
EID of the result in the Scopus database
2-s2.0-85199015638