Analysis and discretization of an optimal control problem for the time-periodic MHD equations

@inproceedings{Gunzburger2005AnalysisAD,
  title={Analysis and discretization of an optimal control problem for the time-periodic MHD equations},
  author={Max D. Gunzburger and Catalin Trenchea},
  year={2005}
}
We consider the mathematical formulation and analysis of an optimal control problem associated with the tracking of the velocity and the magnetic field of a viscous, incompressible, electrically conducting fluid in a bounded two-dimensional domain through the adjustment of distributed controls. Existence of optimal solutions is proved and first-order necessary conditions for optimality are used to derive an optimality system of partial differential equations whose solutions provide optimal… CONTINUE READING

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