Solvability of an Unsaturated Porous Media Flow Problem with Thermomechanical Interaction

DOI10.1137/16M1056365zbMath1364.76218OpenAlexW2964285602MaRDI QIDQ3179341

Pavel Krejči, Elisabetta Rocca, Bettina Detmann

Publication date: 21 December 2016

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

Full work available at URL: https://doi.org/10.1137/16m1056365

zbMATH Keywords

hysteresisvisco-elastic-plastic matrix

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Thermal effects in solid mechanics (74F05) Flows in porous media; filtration; seepage (76S05) Equations with nonlinear hysteresis operators (47J40)

Related Items (5)

Optimal control of a population dynamics model with hysteresis ⋮ Unsaturated deformable porous media flow with thermal phase transition ⋮ Bang-bang control of a prey-predator model with a stable food stock and hysteresis ⋮ On a Viscoelastoplastic Porous Medium Problem with Nonlinear Interaction ⋮ Phase transitions in porous media

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Modeling the hysteretic behavior of the capillary pressure in partially saturated porous media: a review
• The Preisach hysteresis model: error bounds for numerical identification and inversion
• Unsaturated porous media flow with thermomechanical interaction
• Diffusion in poro-plastic media
• MODELING AND NUMERICAL ANALYSIS OF WAVE PROPAGATION IN PARTIALLY SATURATED POROUS MEDIA
• On Maxwell equations with the Preisach hysteresis operator: The one- dimensional time-periodic case
• Existence of solutions to a phase transition model with microscopic movements
• Mechanics of Solid Materials
• ``Entropic” Solutions to a Thermodynamically Consistent PDE System for Phase Transitions and Damage
• Hysteresis in filtration through porous media

This page was built for publication: Solvability of an Unsaturated Porous Media Flow Problem with Thermomechanical Interaction