Optimal Boundary Control of Steady-State Flow of a Viscous Inhomogeneous Incompressible Fluid

被引：0

作者：

A. I. Illarionov

机构：

[1] Institute of Applied Mathematics,Far East Division of the Russian Academy of Sciences

来源：

Mathematical Notes | 2001年 / 69卷

关键词：

optimal boundary control; steady-state flow; viscous inhomogeneous incompressible fluid; admissible control; boundary-value problem; Lagrange multipliers;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：614 / 624

页数：10

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