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Siberian Mathematical Journal

, Volume 42, Issue 5, pp 811–827 | Cite as

Solvability of Inverse Extremal Problems for Stationary Heat and Mass Transfer Equations

  • G. V. Alekseev
Article

Abstract

We consider inverse extremal problems for the stationary system of heat and mass transfer equations describing the propagation of a substance in a viscous incompressible heat conducting fluid in a bounded domain with Lipschitz boundary. The problems consist in finding some unknown parameters of a medium or source densities from a certain information of a solution. We study solvability of the direct boundary value problem and the inverse extremal problem, justify application of the Lagrange principle, introduce and analyze the optimality systems, and establish sufficient conditions for uniqueness of solutions.

Keywords

Mass Transfer Heat Conducting Stationary System Unknown Parameter Bounded Domain 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2001

Authors and Affiliations

  • G. V. Alekseev
    • 1
  1. 1.The Institute of Applied Mathematics of the Far East Division of the Russian Academy of SciencesKhabarovsk

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