Deformable porous media with degenerate hysteresis in gravity field

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00618204" target="_blank" >RIV/67985840:_____/25:00618204 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/25:00382067
Result on the web
<a href="https://doi.org/10.3934/mine.2025003" target="_blank" >https://doi.org/10.3934/mine.2025003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/mine.2025003" target="_blank" >10.3934/mine.2025003</a>

Result language
angličtina
Original language name
Deformable porous media with degenerate hysteresis in gravity field
Original language description
Hysteresis in the pressure-saturation relation in unsaturated porous media, which is due to surface tension on 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 even if the permeability coefficient depends on the hysteretic saturation. The model is extended here to the case that the solid matrix material is viscoelastic and that the system is coupled with a gravity-driven moisture flux. The existence of a solution is proved by compact anisotropic embedding involving Orlicz spaces with respect to the time variable.
Czech name
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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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