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Boundary Value and Control Problems for the Stationary Heat Transfer Model with Variable Coefficients

  • Evgenii S. Baranovskii,
  • Roman V. Brizitskii,
  • Zhanna Yu. Saritskaia

摘要

A stationary heat transfer model generalizing the Boussinesq approximation is considered. For the corresponding boundary value problem the property of a global existence of its weak solution is proved. We establish special requirements on the model data under which the maximum principle for temperature is valid. Moreover, the solvability property of the control problem for the examined heat transfer model is investigated.