Parabolic problems with the Preisach hysteresis operator in boundary conditions

DOI10.1016/J.JDE.2009.07.033zbMath1180.35120OpenAlexW2071581070MaRDI QIDQ1039757

Willi Jäger, Pavel L. Gurevich

Publication date: 23 November 2009

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2009.07.033

zbMATH Keywords

time delayperiodicityPDE-ODE systemthermocontrol problem

Mathematics Subject Classification ID

Attractors (35B41) Periodic solutions of integral equations (45M15) Initial-boundary value problems for second-order parabolic equations (35K20) Equations with nonlinear hysteresis operators (47J40)

Related Items (7)

Stochastic Preisach operator: definition within the design approach ⋮ Multiple solutions of nonlinear Neumann inclusions ⋮ Periodic solutions to a class of biological diffusion models with hysteresis effect ⋮ Symmetric periodic solutions of parabolic problems with discontinuous hysteresis ⋮ Periodic solutions to a heat equation with hysteresis in the source term ⋮ 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

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• Periodic solutions for a thermostat control problem
• An Application of Glicksberg’s Theorem to Set-Valued Integral Equations Arising in the Theory of Thermostats
• One-Dimensional Heat Conduction with a Class of Automatic Heat-Source Controls
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