Title: On boundary optimal control problem for an arterial system: First-order optimality conditions.
Authors: D'Apice, Ciro; Kupenko, Olha P.; Manzo, Rosanna
Abstract: 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.
Subjects: OPTIMAL control theory; BOUSSINESQ equations; BOUNDARY value problems; DIFFERENTIAL equations; COMPLEX variables; INITIAL value problems
Publication: Networks & Heterogeneous Media, 2018, Vol 13, Issue 4, p585
ISSN: 1556-1801
Publication type: Academic Journal
DOI: 10.3934/nhm.2018027

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

D'Apice, Ciro; Kupenko, Olha P.; Manzo, Rosanna