Water flow through unsaturated porous media with hysteresis

DOI10.1016/j.nonrwa.2011.05.012zbMath1231.35091OpenAlexW1969684299MaRDI QIDQ660715

Petra Kordulová

Publication date: 5 February 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.05.012

zbMATH Keywords

parabolic equationpreisach hysteresis operator

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Flows in porous media; filtration; seepage (76S05) A priori estimates in context of PDEs (35B45)

Related Items (6)

A note on viscous liquid-gas two-phase flow model with mass-dependent viscosity and vacuum ⋮ Periodic solutions to a class of biological diffusion models with hysteresis effect ⋮ Periodic solutions to a heat equation with hysteresis in the source term ⋮ Solutions to the seepage face model for dual porosity flows with hysteresis ⋮ Mathematical analysis and numerical solution of models with dynamic Preisach hysteresis ⋮ Well-posedness for a class of biological diffusion models with hysteresis effect

Cites Work

• An introduction to partial differential equations
• Hysteresis and phase transitions
• Magnetohydrodynamic Flow with Hysteresis
• On the Preisach model for hysteresis
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