Hysteresis operators in phase-field models of Penrose-fife type

DOI10.1023/A:1023276524286zbMath0940.35106OpenAlexW138048958MaRDI QIDQ1979000

Juergen Sprekels, Pavel Krejči

Publication date: 22 May 2000

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33007

zbMATH Keywords

phase transitionsthermodynamic consistencyhysteresis operatorsPenrose-Fife modelphase-field systemswell-posedness of parabolic systems

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Stefan problems, phase changes, etc. (80A22) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30)

Related Items (6)

Differential equations with hysteresis operators. existence of solutions, stability, and oscillations ⋮ Asymptotic behaviour for a phase-field model with hysteresis in one-dimensional thermo-visco-plasticity. ⋮ A vanishing diffusion limit in a nonstandard system of phase field equations ⋮ Asymptotic behaviour for a phase-field system with hysteresis ⋮ Phase-field models with hysteresis ⋮ A new phase field model for material fatigue in an oscillating elastoplastic beam

Cites Work

• Thermodynamically consistent models of phase-field type for the kinetics of phase transitions
• An analysis of a phase field model of a free boundary
• Global smooth solutions to a thermodynamically consistent model of phase- field type in higher space dimensions
• Solutions to a Penrose-Fife model of phase-field type
• Differential models of hysteresis
• On a Penrose-Fife model with zero interfacial energy leading to a phase-field system of relaxed Stefan type
• Hysteresis and phase transitions
• A hysteresis approach to phase-field models
• Stefan Problem with Phase Relaxation
• A Heat Balance Integral Method for Estimating Practical Solidification Parameters
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Hysteresis operators in phase-field models of Penrose-fife type