Phase-field model including a hysteresis operator

DOI10.1016/J.NA.2005.03.091zbMath1224.35183OpenAlexW2082874534MaRDI QIDQ999899

Toyohiko Aiki

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.03.091

zbMATH Keywords

Stefan problemphase field equationhysteresis operator

Mathematics Subject Classification ID

Evolution inclusions (34G25) Problems involving hysteresis in solids (74N30) Statistical mechanics of magnetic materials (82D40) Dynamic and nonequilibrium phase transitions (general) in statistical mechanics (82C26) Hysteresis for ordinary differential equations (34C55) Equations with nonlinear hysteresis operators (47J40) Initial-boundary value problems for second-order parabolic systems (35K51)

Cites Work

• Parabolic PDEs with hysteresis and quasivariational inequalities
• One-Dimensional Shape Memory Alloy Problems Including a Hysteresis Operator
• A Prey-Predator Model with Hysteresis Effect
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