Robust and optimal control problems to a phase-field model for the solidification of a binary alloy with a constant temperature

DOI10.1023/B:JODS.0000045361.82698.7fzbMath1065.49003MaRDI QIDQ1771181

Aziz Belmiloudi

Publication date: 7 April 2005

Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)

zbMATH Keywords

robust controlnecessary conditions for optimalityphase-field methodisothermal solidification

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Fréchet and Gateaux differentiability in optimization (49J50) Stefan problems, phase changes, etc. (80A22) A priori estimates in context of PDEs (35B45) Optimization problems in thermodynamics and heat transfer (80M50) Existence theories for optimal control problems involving partial differential equations (49J20) Optimality conditions for minimax problems (49K35)

Related Items (4)

Bilinear minimax control problems for a class of parabolic systems with applications to control of nuclear reactors ⋮ An analysis of a phase-field model for isothermal binary alloy solidification with convection under the influence of magnetic field ⋮ Existence of optimal control for Dirichlet boundary optimization in a phase field problem ⋮ Robust control problems of vortex dynamics in superconducting films with Ginzburg-Landau complex systems

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