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This article is cited in 9 scientific papers (total in 9 papers)
Optimal Boundary Control of Steady-State Flow of a Viscous Inhomogeneous Incompressible Fluid
A. A. Illarionov Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences
Abstract:
We study the problem of optimal boundary control of two-dimensional steady-state flow of a viscous inhomogeneous incompressible fluid. The role of control is played by the values of the velocity on a part of the boundary of the domain considered. On the remaining part of the boundary, the vector of flow velocity and the fluid density are given. We seek the fluid density as a scalar function (determined by the initial data) of the stream function, study the solvability of the problem, and obtain necessary optimality conditions.
Received: 18.09.2000 Revised: 29.08.2000
Citation:
A. A. Illarionov, “Optimal Boundary Control of Steady-State Flow of a Viscous Inhomogeneous Incompressible Fluid”, Mat. Zametki, 69:5 (2001), 666–678; Math. Notes, 69:5 (2001), 614–624
Linking options:
https://www.mathnet.ru/eng/mzm530https://doi.org/10.4213/mzm530 https://www.mathnet.ru/eng/mzm/v69/i5/p666
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