Asymptotic Stability of Solutions to the Porous Media System with Hysteresis

DOI10.1137/19M1271415zbMath1448.35043OpenAlexW3049799040MaRDI QIDQ5124626

Pavel Krejči, Michela Eleuteri

Publication date: 30 September 2020

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/19m1271415

zbMATH Keywords

asymptotic behavior of solutionsPreisach modelcapillary hysteresisviscoelastic porous medium

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear parabolic equations (35K55) Equations with nonlinear hysteresis operators (47J40) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Differential models of hysteresis
• Duality in the space of regulated functions and the play operator
• On BV-type hysteresis operators
• Hysteresis and phase transitions
• Linear and quasilinear elliptic equations
• Unsaturated porous media flow with thermomechanical interaction
• On Maxwell equations with the Preisach hysteresis operator: The one- dimensional time-periodic case
• Asymptotic behavior of a Neumann parabolic problem with hysteresis
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