Real-time control of the free boundary in a two-phase stefan problem

DOI10.1080/01630568208816131zbMath0502.49005OpenAlexW2095502991MaRDI QIDQ3968044

Karl-Heinz Hoffmann, Juergen Sprekels

Publication date: 1982

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630568208816131

zbMATH Keywords

Schauder's fixed point theoremtwo-phase Stefan problemfeedback lawset-valued fixed point equation

Mathematics Subject Classification ID

Related Items (13)

On the Frechet differentiability in optimal control of coefficients in parabolic free boundary problems ⋮ Gradient method in Hilbert-Besov spaces for the optimal control of parabolic free boundary problems ⋮ Feedback control via thermostats of multidimensional two-phase Stefan problems ⋮ On the optimal control of the free boundary problems for the second order parabolic equations. II. Convergence of the method of finite differences ⋮ Adjoint-based optimization of two-dimensional Stefan problems ⋮ Automatic control of the temperature in thermoviscoelasticity ⋮ Optimal Stefan problem ⋮ Fréchet differentiability in Besov spaces in the optimal control of parabolic free boundary problems ⋮ Boundary controllability of phase-transition region of a two-phase Stefan problem ⋮ Optimal control of multiphase free boundary problems for nonlinear parabolic equations ⋮ Optimal control of coefficients in parabolic free boundary problems modeling laser ablation ⋮ Control and estimation of the boundary heat transfer function in Stefan problems ⋮ Optimal control of the multiphase Stefan problem

Cites Work

• Unnamed Item
• Unnamed Item
• General free-boundary problems for the heat equation. I
• A priori estimate for continuation of the solution of the heat equation in the space variable
• A two phase Stefan problem with flux boundary conditions
• A two phase Stefan problem: regularity of the free boundary
• An Application of Glicksberg’s Theorem to Set-Valued Integral Equations Arising in the Theory of Thermostats

This page was built for publication: Real-time control of the free boundary in a two-phase stefan problem