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On some optimal control problems for the heat radiative transfer equation

  • Sandro Manservisi (a1) (a2) and Knut Heusermann (a2)

Abstract

This paper is concerned with some optimal control problems for the Stefan-Boltzmann radiative transfer equation. The objective of the optimisation is to obtain a desired temperature profile on part of the domain by controlling the source or the shape of the domain. We present two problems with the same objective functional: an optimal control problem for the intensity and the position of the heat sources and an optimal shape design problem where the top surface is sought as control. The problems are analysed and first order necessity conditions in form of variation inequalities are obtained.

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On some optimal control problems for the heat radiative transfer equation

  • Sandro Manservisi (a1) (a2) and Knut Heusermann (a2)

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