Automatic control via thermostats of a hyperbolic Stefan problem with memory

DOI10.1007/S002459900105zbMath0931.35198OpenAlexW2033041617WikidataQ127809135 ScholiaQ127809135MaRDI QIDQ1283975

Pierluigi Colli, Juergen Sprekels, Maurizio Grasselli

Publication date: 23 February 2000

Published in: Applied Mathematics and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002459900105

zbMATH Keywords

heat condition with memoryhyperbolic Stefan problemshysteresis operators of Preisach typethermstat control

Mathematics Subject Classification ID

Feedback control (93B52) Integro-partial differential equations (45K05) Stefan problems, phase changes, etc. (80A22) Free boundary problems for PDEs (35R35)

Related Items (11)

Optimal control of the free boundary in a two-phase Stefan problem ⋮ Automatic control of the temperature in thermoviscoelasticity ⋮ Symmetric periodic solutions of parabolic problems with discontinuous hysteresis ⋮ Some inverse problems of identification for integrodifferential parabolic systems with a boundary memory term ⋮ Identification of a convolution kernel in a control problem for the heat equation with a boundary memory term ⋮ On the existence of periodic solutions to some nonlinear thermal control problems ⋮ Elliptic problems with nonlocal boundary conditions and Feller semigroups ⋮ Asymptotics of sign-changing patterns in hysteretic systems with diffusive thresholds ⋮ Optimal control of multiphase free boundary problems for nonlinear parabolic equations ⋮ Parabolic problems with the Preisach hysteresis operator in boundary conditions ⋮ Automatic control of the temperature in phase change problems with memory

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