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ISBN 80-86732-59-2 © MATFYZPRESS Optimal Shape Design in a Fibre Orientation Model

By J. Stebel


Abstract. We study a 2D model of the orientation distribution of fibres in a paper machine headbox. The goal is to control the orientation of fibres at the outlet by shape variations. The mathematical formulation leads to an optimization problem with control in coefficients of a linear convection-diffusion equation as the state problem. Existence of solutions both to the state and the optimization problem is analyzed and sensitivity analysis is performed

Year: 2011
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