Boundary Temperature Control for Thermally Coupled Navier-Stokes Equations

  • Kazufumi Ito
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 118)


In this paper the optimal control problem for the thermally coupled incompressible Navier-Stokes equations by the Dirichelet boundary temperature control is discussed. Well-posedness and existence of the optimal control for the finite-time horizon problem and optimal control problem for the stationary equations are established. Necessary optimality conditions are also obtained.

1991 Mathematics Subject Classification

76D05 93C20 49B22 

Key words and phrases

Boussinesq equation boundary temperature control necessary optimality condition 


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Copyright information

© Springer Basel AG 1994

Authors and Affiliations

  • Kazufumi Ito
    • 1
  1. 1.Center for Research in Scientific Computation Department of MathematicsNorth Carolina State UniversityRaleighUSA

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