Feedback control via thermostats of multidimensional two-phase Stefan problems

DOI10.1016/0362-546X(90)90078-UzbMath0752.49004MaRDI QIDQ3970933

Marek Niezgódka, Karl-Heinz Hoffmann, Juergen Sprekels

Publication date: 25 June 1992

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

feedbackreal-time controlmultidimensional two-phase Stefan processesnonlinear two-phase Stefan problem

Mathematics Subject Classification ID

Feedback control (93B52) Stefan problems, phase changes, etc. (80A22) Multiphase and multicomponent flows (76T99) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items

Automatic control of the temperature in thermoviscoelasticity ⋮ Symmetric periodic solutions of parabolic problems with discontinuous hysteresis ⋮ 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 ⋮ Large-time solutions of the two-phase Stefan problem with delay ⋮ Automatic control of the temperature in phase change problems with memory ⋮ Periodic solutions of the Stefan problem with hysteresis-type boundary conditions

Cites Work

• Continuity of the temperature in the two-phase Stefan problem
• A generalized Stefan problem in several space variables
• Classical solutions of the Stefan problem
• A boundary modulus of continuity for a class of singular parabolic equations
• Continuity of weak solutions to certain singular parabolic equations
• An Application of Glicksberg’s Theorem to Set-Valued Integral Equations Arising in the Theory of Thermostats
• Real-time control of the free boundary in a two-phase stefan problem
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