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On boundary optimal control problem for an arterial system: First-order optimality conditions

  • * Corresponding author: Rosanna Manzo

    * Corresponding author: Rosanna Manzo
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  • We discuss a control constrained boundary optimal control problem for the Boussinesq-type system arising in the study of the dynamics of an arterial network. We suppose that the control object is described by an initial-boundary value problem for $ 1D $ system of pseudo-parabolic nonlinear equations with an unbounded coefficient in the principle part and the Robin-type of boundary conditions. The main question we study in this part of the paper is about the existence of optimal solutions and first-order optimality conditions.

    Mathematics Subject Classification: Primary: 35K51, 35B45; Secondary: 49J20.


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