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Optimal control for the boundary flux to the continuous casting problem. (English) Zbl 0890.49001
The authors consider a three-dimensional evolutionary continuous casting problem. The problem is described by a singular parabolic equation with a singular convection term and mixed boundary conditions. The problem of optimal control for the boundary flux is discussed. Necessary conditions for the optimal control problem are derived in the absence of mushy region.
MSC:
49J20 Existence theories for optimal control problems involving partial differential equations
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