Periodic solutions of the Stefan problem with hysteresis-type boundary conditions

DOI10.1007/BF02599308zbMath0788.35153MaRDI QIDQ1313539

Ivan G. Götz, Anvarbek M. Meirmanov, Karl-Heinz Hoffmann

Publication date: 6 June 1994

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155803

zbMATH Keywords

hysteresisperiodic solutionsfree boundary problemstwo-phase Stefan problem

Mathematics Subject Classification ID

Control/observation systems governed by partial differential equations (93C20) Periodic solutions to PDEs (35B10) Stefan problems, phase changes, etc. (80A22) Heat equation (35K05) Free boundary problems for PDEs (35R35)

Related Items (7)

Periodic solutions of parabolic equations with hysteresis in dimension 1 ⋮ 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 ⋮ Parabolic problems with the Preisach hysteresis operator in boundary conditions ⋮ Stability of periodic solutions for hysteresis-delay differential equations ⋮ Periodic solutions of a phase-field model with hysteresis

Cites Work

• A model for hysteresis of distributed systems
• The Stefan problem. Translated from the Russian by Marek Niezgódka and Anna Crowley
• Feedback control via thermostats of multidimensional two-phase Stefan problems
• Control of Free Boundary Problems with Hysteresis

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