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Control of Crystallization Processes
Authors:Thomas Götz  Rene Pinnau  Jens Struckmeier
Affiliation:Dept. of Mathematics, University of Kaiserslautern, D–67663 Kaiserslautern, Germany
Abstract:In this paper an optimal control problem for polymer crystallization is investigated. The crystallization is described by a non–isothermal Avrami–Kolmogorov model. The boundary temperature serves as control variable. The cost functional takes the spatial variation of the crystallinity and the final degree of crystallization into account. The resulting boundary control problem for a parabolic equation coupled with two ordinary differential equations is treated by an adjoint variable approach. Numerical simulations are carried out for different scenarios to illustrate the applicability and performance of the optimization algorithm. (© 2006 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)
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