Optimal distributed control of a Allen-Cahn/Cahn-Hilliard system with temperature

DOI10.1007/s00245-021-09807-2zbMath1486.49004OpenAlexW3185374770MaRDI QIDQ832612

Bosheng Chen, Chein-Shan Liu

Publication date: 25 March 2022

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

Full work available at URL: https://doi.org/10.1007/s00245-021-09807-2

zbMATH Keywords

Allen-Cahn/Cahn-Hilliard systemoptimal distributed controlfirst-order necessary optimality conditions

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Fréchet and Gateaux differentiability in optimization (49J50) A priori estimates in context of PDEs (35B45) Existence theories for optimal control problems involving partial differential equations (49J20) Initial-boundary value problems for higher-order parabolic systems (35K52)

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Cites Work

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• Optimal boundary control of a simplified Ericksen-Leslie system for nematic liquid crystal flows in \(2D\)
• Optimal control for the convective Cahn-Hilliard equation in 2D case
• Parameter identification via optimal control for a Cahn-Hilliard-chemotaxis system with a variable mobility
• Finite-dimensional exponential attractor for a model for order-disorder and phase separation
• Infinite-dimensional dynamical systems in mechanics and physics.
• Optimal control for a conserved phase field system with a possibly singular potential
• Evolution equations for phase separation and ordering in binary alloys
• Triple-junction motion for an Allen-Cahn/Cahn-Hilliard system
• Existence for an Allen-Cahn/Cahn-Hilliard system with degenerate mobility
• On a Cahn-Hilliard/Allen-Cahn system coupled with a type III heat equation and singular potentials
• Asymptotic behavior of a Cahn-Hilliard/Allen-Cahn system with temperature
• On the stability and transition of the Cahn-Hilliard/Allen-Cahn system
• Optimal treatment for a phase field system of Cahn-Hilliard type modeling tumor growth by asymptotic scheme
• Optimal distributed control of an extended model of tumor growth with logarithmic potential
• Optimal control problem for the Cahn-Hilliard/Allen-Cahn equation with state constraint
• On optimal boundary control of Ericksen-Leslie system in dimension two
• On the steady state bifurcation of the Cahn-Hilliard/Allen-Cahn system
• Optimal distributed control for a new mechanochemical model in biological patterns
• On the Cahn-Hilliard/Allen-Cahn equations with singular potentials
• Geometric motion for a degenerate Allen-Cahn/Cahn-Hilliard system: the partial wetting case
• Optimal distributed control for a coupled phase-field system
• Ordinary Differential Equations and Dynamical Systems
• Optimal control for a sixth order nonlinear parabolic equation
• Asymptotic behavior of a model for order-disorder and phase separation
• Optimal control of a new mechanochemical model with state constraint
• Distributed optimal control problems for phase field systems with singular potential
• Optimal distributed control of a diffuse interface model of tumor growth

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