A class of parabolic systems associated with optimal controls of grain boundary motions

zbMath1470.35213arXiv1809.06419MaRDI QIDQ5004825

Noriaki Yamazaki, Harbir Antil, Ken Shirakawa

Publication date: 3 August 2021

Full work available at URL: https://arxiv.org/abs/1809.06419

zbMATH Keywords

optimal control problemparabolic variational inequalityadjoint systemgrain boundary motionGâteaux derivative of cost

Mathematics Subject Classification ID

Existence theories for optimal control problems involving partial differential equations (49J20) PDEs in connection with control and optimization (35Q93) Initial-boundary value problems for second-order parabolic systems (35K51) Unilateral problems for parabolic systems and systems of variational inequalities with parabolic operators (35K87)

Related Items (3)

Constrained optimization problems governed by PDE models of grain boundary motions ⋮ Optimization of a prey-predator model with hysteresis and convection ⋮ Optimal control problems governed by 1-D Kobayashi-Warren-Carter type systems

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