Optimal boundary controls for a phase field model

DOI10.1093/IMAMCI/10.2.157zbMath0874.49006OpenAlexW2035080553MaRDI QIDQ4305333

Zhiming Chen

Publication date: 11 November 1997

Published in: IMA Journal of Mathematical Control and Information (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamci/10.2.157

zbMATH Keywords

phase field modelphase transitionsnecessary conditions for optimalitybang-bang principleoptimal boundary control problemexistence of the optimal solutionsnonlinear system of parabolic equations

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Existence theories for optimal control problems involving partial differential equations (49J20)

Related Items (5)

State-constrained optimal control of phase-field equations with obstacle ⋮ Boundary stabilization of the phase field system by finite-dimensional feedback controllers ⋮ Optimal controls of multidimensional modified Swift–Hohenberg equation ⋮ Optimal control problem for Cahn-Hilliard equations with state constraint ⋮ Optimal control problem for Lengyel–Epstein model with obstacles and state constraints

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