Asymptotic stability of solutions to the porous media system with hysteresis

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F20%3A00531877" target="_blank" >RIV/67985840:_____/20:00531877 - isvavai.cz</a>
Alternative codes found
RIV/68407700:21110/20:00346072
Result on the web
<a href="https://doi.org/10.1137/19M1271415" target="_blank" >https://doi.org/10.1137/19M1271415</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1137/19M1271415" target="_blank" >10.1137/19M1271415</a>

Result language
angličtina
Original language name
Asymptotic stability of solutions to the porous media system with hysteresis
Original language description
The long time behavior of solutions to the autonomous PDE system describing fluid diffusion in a viscoelastic porous medium with capillary hysteresis is studied with homogeneous Dirichlet conditions for the displacement of the solid and homogeneous Neumann boundary conditions for the capillary pressure. Although the set of possible equilibria is very large, a detailed investigation of the hysteresis memory dynamics shows that all global solution trajectories converge to an equilibrium in the state space of all admissible memory configurations as time tends to infinity.
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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