Optimal Boundary Control of the Boussinesq Approximation for Polymeric Fluids

Evgenii S. Baranovskii ()
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Evgenii S. Baranovskii: Voronezh State University

Journal of Optimization Theory and Applications, 2021, vol. 189, issue 2, No 12, 623-645

Abstract: Abstract We consider an optimal control problem for non-isothermal steady flows of low-concentrated aqueous polymer solutions in a bounded 3D domain. In this problem, the state functions are the flow velocity and the temperature, while the control function is the heat flux through a given part of the boundary of the flow domain. We obtain sufficient conditions for the existence of weak solutions that minimize a cost functional under a given bounded set of admissible controls. It is shown that the marginal function of the considered control system is lower semi-continuous and the optimal states operator generates a continuous branch in a suitable function space.

Keywords: Optimal control; Boundary control; Marginal function; Non-isothermal flows; Aqueous polymer solutions; Boussinesq equations; 49J20; 35Q35; 35Q79 (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-021-01849-4

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