Degenerate diffusion in porous media with hysteresis-dependent permeability

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00604003" target="_blank" >RIV/67985840:_____/25:00604003 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/25:00382068
Result on the web
<a href="https://doi.org/10.3934/dcds.2024137" target="_blank" >https://doi.org/10.3934/dcds.2024137</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcds.2024137" target="_blank" >10.3934/dcds.2024137</a>

Result language
angličtina
Original language name
Degenerate diffusion in porous media with hysteresis-dependent permeability
Original language description
Hysteresis in the relation between the capillary pressure and the moisture content in unsaturated porous media, which is due to surface tension at the liquid-gas interface, exhibits strong degeneracy in the resulting mass balance equation. Solutions to such degenerate equations have been recently constructed by the method of convexification. We show here that the convexification argument works even if the permeability coefficient depends on the hysteretic saturation. The problem of uniqueness remains open in this case.
Czech name
—
Czech description
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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
10101 - Pure mathematics

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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